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Finding the Fourth Proportional to 3,472.06, 4,789.92 and 2,074

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Solution

The fourth proportional to 3,472.06, 4,789.92 and 2,074 is: 2,861.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,472.06 : 4,789.92 = 2,074 : x
  2. Step 2: Convert to fraction form
    3,472.06/4,789.92 = 2,074/x
  3. Step 3: Cross multiply
    3,472.06x = 4,789.92 × 2,074
  4. Step 4: Simplify right side
    3,472.06x = 9,934,294.08
  5. Step 5: Solve for x
    x = 9,934,294.08/3,472.06
  6. Step 6: Final answer
    x = 2,861.21

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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.