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Finding the Fourth Proportional to 3,744.54, 5,613.66 and 2,508.21

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Solution

The fourth proportional to 3,744.54, 5,613.66 and 2,508.21 is: 3,760.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,744.54 : 5,613.66 = 2,508.21 : x
  2. Step 2: Convert to fraction form
    3,744.54/5,613.66 = 2,508.21/x
  3. Step 3: Cross multiply
    3,744.54x = 5,613.66 × 2,508.21
  4. Step 4: Simplify right side
    3,744.54x = 14,080,238.15
  5. Step 5: Solve for x
    x = 14,080,238.15/3,744.54
  6. Step 6: Final answer
    x = 3,760.21

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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.