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Finding the Fourth Proportional to 2,905.28, 4,363.52 and 2,489.75

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Solution

The fourth proportional to 2,905.28, 4,363.52 and 2,489.75 is: 3,739.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,905.28 : 4,363.52 = 2,489.75 : x
  2. Step 2: Convert to fraction form
    2,905.28/4,363.52 = 2,489.75/x
  3. Step 3: Cross multiply
    2,905.28x = 4,363.52 × 2,489.75
  4. Step 4: Simplify right side
    2,905.28x = 10,864,073.92
  5. Step 5: Solve for x
    x = 10,864,073.92/2,905.28
  6. Step 6: Final answer
    x = 3,739.42

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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.