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Finding the Fourth Proportional to 3,454.61, 5,182.20 and 1,082.52

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Solution

The fourth proportional to 3,454.61, 5,182.20 and 1,082.52 is: 1,623.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454.61 : 5,182.20 = 1,082.52 : x
  2. Step 2: Convert to fraction form
    3,454.61/5,182.20 = 1,082.52/x
  3. Step 3: Cross multiply
    3,454.61x = 5,182.20 × 1,082.52
  4. Step 4: Simplify right side
    3,454.61x = 5,609,835.14
  5. Step 5: Solve for x
    x = 5,609,835.14/3,454.61
  6. Step 6: Final answer
    x = 1,623.87

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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.