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Finding the Fourth Proportional to 3,612.86, 5,419.47 and 1,147.88

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Solution

The fourth proportional to 3,612.86, 5,419.47 and 1,147.88 is: 1,721.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,612.86 : 5,419.47 = 1,147.88 : x
  2. Step 2: Convert to fraction form
    3,612.86/5,419.47 = 1,147.88/x
  3. Step 3: Cross multiply
    3,612.86x = 5,419.47 × 1,147.88
  4. Step 4: Simplify right side
    3,612.86x = 6,220,874.13
  5. Step 5: Solve for x
    x = 6,220,874.13/3,612.86
  6. Step 6: Final answer
    x = 1,721.87

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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.