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Finding the Fourth Proportional to 4,691.82, 6,475.77 and 2,702.73

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Solution

The fourth proportional to 4,691.82, 6,475.77 and 2,702.73 is: 3,730.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,691.82 : 6,475.77 = 2,702.73 : x
  2. Step 2: Convert to fraction form
    4,691.82/6,475.77 = 2,702.73/x
  3. Step 3: Cross multiply
    4,691.82x = 6,475.77 × 2,702.73
  4. Step 4: Simplify right side
    4,691.82x = 17,502,257.85
  5. Step 5: Solve for x
    x = 17,502,257.85/4,691.82
  6. Step 6: Final answer
    x = 3,730.38

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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.