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Finding the Fourth Proportional to 4,691.87, 6,473.21 and 2,702.39

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Solution

The fourth proportional to 4,691.87, 6,473.21 and 2,702.39 is: 3,728.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,691.87 : 6,473.21 = 2,702.39 : x
  2. Step 2: Convert to fraction form
    4,691.87/6,473.21 = 2,702.39/x
  3. Step 3: Cross multiply
    4,691.87x = 6,473.21 × 2,702.39
  4. Step 4: Simplify right side
    4,691.87x = 17,493,136.64
  5. Step 5: Solve for x
    x = 17,493,136.64/4,691.87
  6. Step 6: Final answer
    x = 3,728.39

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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.