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Finding the Fourth Proportional to 5,615.60, 7,752.69 and 3,729.76

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Solution

The fourth proportional to 5,615.60, 7,752.69 and 3,729.76 is: 5,149.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,615.60 : 7,752.69 = 3,729.76 : x
  2. Step 2: Convert to fraction form
    5,615.60/7,752.69 = 3,729.76/x
  3. Step 3: Cross multiply
    5,615.60x = 7,752.69 × 3,729.76
  4. Step 4: Simplify right side
    5,615.60x = 28,915,673.05
  5. Step 5: Solve for x
    x = 28,915,673.05/5,615.60
  6. Step 6: Final answer
    x = 5,149.17

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