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Finding the Fourth Proportional to 5,864.40, 8,747.19 and 5,456.16

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Solution

The fourth proportional to 5,864.40, 8,747.19 and 5,456.16 is: 8,138.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,864.40 : 8,747.19 = 5,456.16 : x
  2. Step 2: Convert to fraction form
    5,864.40/8,747.19 = 5,456.16/x
  3. Step 3: Cross multiply
    5,864.40x = 8,747.19 × 5,456.16
  4. Step 4: Simplify right side
    5,864.40x = 47,726,068.19
  5. Step 5: Solve for x
    x = 47,726,068.19/5,864.40
  6. Step 6: Final answer
    x = 8,138.27

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.