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Finding the Fourth Proportional to 5,713.08, 8,545.92 and 5,363.16

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Solution

The fourth proportional to 5,713.08, 8,545.92 and 5,363.16 is: 8,022.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,713.08 : 8,545.92 = 5,363.16 : x
  2. Step 2: Convert to fraction form
    5,713.08/8,545.92 = 5,363.16/x
  3. Step 3: Cross multiply
    5,713.08x = 8,545.92 × 5,363.16
  4. Step 4: Simplify right side
    5,713.08x = 45,833,084.15
  5. Step 5: Solve for x
    x = 45,833,084.15/5,713.08
  6. Step 6: Final answer
    x = 8,022.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.