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Finding the Fourth Proportional to 3,446.83, 5,165.86 and 1,691.41

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Solution

The fourth proportional to 3,446.83, 5,165.86 and 1,691.41 is: 2,534.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,446.83 : 5,165.86 = 1,691.41 : x
  2. Step 2: Convert to fraction form
    3,446.83/5,165.86 = 1,691.41/x
  3. Step 3: Cross multiply
    3,446.83x = 5,165.86 × 1,691.41
  4. Step 4: Simplify right side
    3,446.83x = 8,737,587.26
  5. Step 5: Solve for x
    x = 8,737,587.26/3,446.83
  6. Step 6: Final answer
    x = 2,534.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.