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Finding the Fourth Proportional to 4,220.76, 5,824.64 and 2,357.76

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Solution

The fourth proportional to 4,220.76, 5,824.64 and 2,357.76 is: 3,253.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,220.76 : 5,824.64 = 2,357.76 : x
  2. Step 2: Convert to fraction form
    4,220.76/5,824.64 = 2,357.76/x
  3. Step 3: Cross multiply
    4,220.76x = 5,824.64 × 2,357.76
  4. Step 4: Simplify right side
    4,220.76x = 13,733,103.21
  5. Step 5: Solve for x
    x = 13,733,103.21/4,220.76
  6. Step 6: Final answer
    x = 3,253.70

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Half scale
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Double scale
Find fourth proportional to 4,221.76, 5,826.02 and 2,358.76
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.