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Finding the Fourth Proportional to 3,474.82, 5,214.89 and 2,428

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Solution

The fourth proportional to 3,474.82, 5,214.89 and 2,428 is: 3,643.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474.82 : 5,214.89 = 2,428 : x
  2. Step 2: Convert to fraction form
    3,474.82/5,214.89 = 2,428/x
  3. Step 3: Cross multiply
    3,474.82x = 5,214.89 × 2,428
  4. Step 4: Simplify right side
    3,474.82x = 12,661,752.92
  5. Step 5: Solve for x
    x = 12,661,752.92/3,474.82
  6. Step 6: Final answer
    x = 3,643.86

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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.