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Finding the Fourth Proportional to 4,200, 5,797.04 and 2,432.76

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Solution

The fourth proportional to 4,200, 5,797.04 and 2,432.76 is: 3,357.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,200 : 5,797.04 = 2,432.76 : x
  2. Step 2: Convert to fraction form
    4,200/5,797.04 = 2,432.76/x
  3. Step 3: Cross multiply
    4,200x = 5,797.04 × 2,432.76
  4. Step 4: Simplify right side
    4,200x = 14,102,807.03
  5. Step 5: Solve for x
    x = 14,102,807.03/4,200
  6. Step 6: Final answer
    x = 3,357.81

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Double scale
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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.