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Finding the Fourth Proportional to 5,752.60, 7,938.48 and 3,627.70

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Solution

The fourth proportional to 5,752.60, 7,938.48 and 3,627.70 is: 5,006.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,752.60 : 7,938.48 = 3,627.70 : x
  2. Step 2: Convert to fraction form
    5,752.60/7,938.48 = 3,627.70/x
  3. Step 3: Cross multiply
    5,752.60x = 7,938.48 × 3,627.70
  4. Step 4: Simplify right side
    5,752.60x = 28,798,423.90
  5. Step 5: Solve for x
    x = 28,798,423.90/5,752.60
  6. Step 6: Final answer
    x = 5,006.16

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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.