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Finding the Fourth Proportional to 5,716.76, 7,890.20 and 3,232.76

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Solution

The fourth proportional to 5,716.76, 7,890.20 and 3,232.76 is: 4,461.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,716.76 : 7,890.20 = 3,232.76 : x
  2. Step 2: Convert to fraction form
    5,716.76/7,890.20 = 3,232.76/x
  3. Step 3: Cross multiply
    5,716.76x = 7,890.20 × 3,232.76
  4. Step 4: Simplify right side
    5,716.76x = 25,507,122.95
  5. Step 5: Solve for x
    x = 25,507,122.95/5,716.76
  6. Step 6: Final answer
    x = 4,461.81

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Half scale
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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.