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Finding the Fourth Proportional to 6,306.38, 8,702.47 and 3,617.46

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Solution

The fourth proportional to 6,306.38, 8,702.47 and 3,617.46 is: 4,991.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,306.38 : 8,702.47 = 3,617.46 : x
  2. Step 2: Convert to fraction form
    6,306.38/8,702.47 = 3,617.46/x
  3. Step 3: Cross multiply
    6,306.38x = 8,702.47 × 3,617.46
  4. Step 4: Simplify right side
    6,306.38x = 31,480,819.04
  5. Step 5: Solve for x
    x = 31,480,819.04/6,306.38
  6. Step 6: Final answer
    x = 4,991.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.