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Finding the Fourth Proportional to 5,872.72, 8,105.18 and 3,635.31

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Solution

The fourth proportional to 5,872.72, 8,105.18 and 3,635.31 is: 5,017.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,872.72 : 8,105.18 = 3,635.31 : x
  2. Step 2: Convert to fraction form
    5,872.72/8,105.18 = 3,635.31/x
  3. Step 3: Cross multiply
    5,872.72x = 8,105.18 × 3,635.31
  4. Step 4: Simplify right side
    5,872.72x = 29,464,841.91
  5. Step 5: Solve for x
    x = 29,464,841.91/5,872.72
  6. Step 6: Final answer
    x = 5,017.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.