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Finding the Fourth Proportional to 5,876.92, 8,802.42 and 3,563.56

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Solution

The fourth proportional to 5,876.92, 8,802.42 and 3,563.56 is: 5,337.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,876.92 : 8,802.42 = 3,563.56 : x
  2. Step 2: Convert to fraction form
    5,876.92/8,802.42 = 3,563.56/x
  3. Step 3: Cross multiply
    5,876.92x = 8,802.42 × 3,563.56
  4. Step 4: Simplify right side
    5,876.92x = 31,367,951.82
  5. Step 5: Solve for x
    x = 31,367,951.82/5,876.92
  6. Step 6: Final answer
    x = 5,337.48

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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.