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Finding the Fourth Proportional to 3,714.72, 5,572.20 and 1,842.24

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Solution

The fourth proportional to 3,714.72, 5,572.20 and 1,842.24 is: 2,763.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714.72 : 5,572.20 = 1,842.24 : x
  2. Step 2: Convert to fraction form
    3,714.72/5,572.20 = 1,842.24/x
  3. Step 3: Cross multiply
    3,714.72x = 5,572.20 × 1,842.24
  4. Step 4: Simplify right side
    3,714.72x = 10,265,329.73
  5. Step 5: Solve for x
    x = 10,265,329.73/3,714.72
  6. Step 6: Final answer
    x = 2,763.42

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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.