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Finding the Fourth Proportional to 4,691.76, 6,475.30 and 2,702.12

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Solution

The fourth proportional to 4,691.76, 6,475.30 and 2,702.12 is: 3,729.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,691.76 : 6,475.30 = 2,702.12 : x
  2. Step 2: Convert to fraction form
    4,691.76/6,475.30 = 2,702.12/x
  3. Step 3: Cross multiply
    4,691.76x = 6,475.30 × 2,702.12
  4. Step 4: Simplify right side
    4,691.76x = 17,497,037.64
  5. Step 5: Solve for x
    x = 17,497,037.64/4,691.76
  6. Step 6: Final answer
    x = 3,729.31

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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.