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Finding the Fourth Proportional to 5,892.11, 8,838.16 and 3,702.37

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Solution

The fourth proportional to 5,892.11, 8,838.16 and 3,702.37 is: 5,553.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,892.11 : 8,838.16 = 3,702.37 : x
  2. Step 2: Convert to fraction form
    5,892.11/8,838.16 = 3,702.37/x
  3. Step 3: Cross multiply
    5,892.11x = 8,838.16 × 3,702.37
  4. Step 4: Simplify right side
    5,892.11x = 32,722,138.44
  5. Step 5: Solve for x
    x = 32,722,138.44/5,892.11
  6. Step 6: Final answer
    x = 5,553.55

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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.