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Finding the Fourth Proportional to 5,640.41, 7,781.15 and 3,651.60

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Solution

The fourth proportional to 5,640.41, 7,781.15 and 3,651.60 is: 5,037.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,640.41 : 7,781.15 = 3,651.60 : x
  2. Step 2: Convert to fraction form
    5,640.41/7,781.15 = 3,651.60/x
  3. Step 3: Cross multiply
    5,640.41x = 7,781.15 × 3,651.60
  4. Step 4: Simplify right side
    5,640.41x = 28,413,629.08
  5. Step 5: Solve for x
    x = 28,413,629.08/5,640.41
  6. Step 6: Final answer
    x = 5,037.52

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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.