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Finding the Fourth Proportional to 3,744.57, 5,612.58 and 2,280.48

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Solution

The fourth proportional to 3,744.57, 5,612.58 and 2,280.48 is: 3,418.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,744.57 : 5,612.58 = 2,280.48 : x
  2. Step 2: Convert to fraction form
    3,744.57/5,612.58 = 2,280.48/x
  3. Step 3: Cross multiply
    3,744.57x = 5,612.58 × 2,280.48
  4. Step 4: Simplify right side
    3,744.57x = 12,799,376.44
  5. Step 5: Solve for x
    x = 12,799,376.44/3,744.57
  6. Step 6: Final answer
    x = 3,418.12

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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.