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Finding the Fourth Proportional to 5,474.64, 8,215.92 and 2,143.38

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Solution

The fourth proportional to 5,474.64, 8,215.92 and 2,143.38 is: 3,216.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,474.64 : 8,215.92 = 2,143.38 : x
  2. Step 2: Convert to fraction form
    5,474.64/8,215.92 = 2,143.38/x
  3. Step 3: Cross multiply
    5,474.64x = 8,215.92 × 2,143.38
  4. Step 4: Simplify right side
    5,474.64x = 17,609,838.61
  5. Step 5: Solve for x
    x = 17,609,838.61/5,474.64
  6. Step 6: Final answer
    x = 3,216.62

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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.