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Finding the Fourth Proportional to 4,691.68, 6,474.36 and 2,701.96

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Solution

The fourth proportional to 4,691.68, 6,474.36 and 2,701.96 is: 3,728.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,691.68 : 6,474.36 = 2,701.96 : x
  2. Step 2: Convert to fraction form
    4,691.68/6,474.36 = 2,701.96/x
  3. Step 3: Cross multiply
    4,691.68x = 6,474.36 × 2,701.96
  4. Step 4: Simplify right side
    4,691.68x = 17,493,461.75
  5. Step 5: Solve for x
    x = 17,493,461.75/4,691.68
  6. Step 6: Final answer
    x = 3,728.61

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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.