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Finding the Fourth Proportional to 3,762.14, 5,640.98 and 1,540.31

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Solution

The fourth proportional to 3,762.14, 5,640.98 and 1,540.31 is: 2,309.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.14 : 5,640.98 = 1,540.31 : x
  2. Step 2: Convert to fraction form
    3,762.14/5,640.98 = 1,540.31/x
  3. Step 3: Cross multiply
    3,762.14x = 5,640.98 × 1,540.31
  4. Step 4: Simplify right side
    3,762.14x = 8,688,857.90
  5. Step 5: Solve for x
    x = 8,688,857.90/3,762.14
  6. Step 6: Final answer
    x = 2,309.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.