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Finding the Fourth Proportional to 4,691.49, 6,475.05 and 2,701.68

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Solution

The fourth proportional to 4,691.49, 6,475.05 and 2,701.68 is: 3,728.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,691.49 : 6,475.05 = 2,701.68 : x
  2. Step 2: Convert to fraction form
    4,691.49/6,475.05 = 2,701.68/x
  3. Step 3: Cross multiply
    4,691.49x = 6,475.05 × 2,701.68
  4. Step 4: Simplify right side
    4,691.49x = 17,493,513.08
  5. Step 5: Solve for x
    x = 17,493,513.08/4,691.49
  6. Step 6: Final answer
    x = 3,728.78

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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.