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Finding the Fourth Proportional to 4,691.68, 6,474.72 and 2,702.68

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Solution

The fourth proportional to 4,691.68, 6,474.72 and 2,702.68 is: 3,729.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,691.68 : 6,474.72 = 2,702.68 : x
  2. Step 2: Convert to fraction form
    4,691.68/6,474.72 = 2,702.68/x
  3. Step 3: Cross multiply
    4,691.68x = 6,474.72 × 2,702.68
  4. Step 4: Simplify right side
    4,691.68x = 17,499,096.25
  5. Step 5: Solve for x
    x = 17,499,096.25/4,691.68
  6. Step 6: Final answer
    x = 3,729.81

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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.