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Finding the Fourth Proportional to 3,702.38, 5,529.15 and 3,294.14

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Solution

The fourth proportional to 3,702.38, 5,529.15 and 3,294.14 is: 4,919.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,702.38 : 5,529.15 = 3,294.14 : x
  2. Step 2: Convert to fraction form
    3,702.38/5,529.15 = 3,294.14/x
  3. Step 3: Cross multiply
    3,702.38x = 5,529.15 × 3,294.14
  4. Step 4: Simplify right side
    3,702.38x = 18,213,766.54
  5. Step 5: Solve for x
    x = 18,213,766.54/3,702.38
  6. Step 6: Final answer
    x = 4,919.48

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Why These Related Problems?

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