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Finding the Fourth Proportional to 4,702.42, 6,489.32 and 2,712.97

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Solution

The fourth proportional to 4,702.42, 6,489.32 and 2,712.97 is: 3,743.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,702.42 : 6,489.32 = 2,712.97 : x
  2. Step 2: Convert to fraction form
    4,702.42/6,489.32 = 2,712.97/x
  3. Step 3: Cross multiply
    4,702.42x = 6,489.32 × 2,712.97
  4. Step 4: Simplify right side
    4,702.42x = 17,605,284.47
  5. Step 5: Solve for x
    x = 17,605,284.47/4,702.42
  6. Step 6: Final answer
    x = 3,743.88

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