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Finding the Fourth Proportional to 3,898.48, 5,829.92 and 2,912

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Solution

The fourth proportional to 3,898.48, 5,829.92 and 2,912 is: 4,354.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,898.48 : 5,829.92 = 2,912 : x
  2. Step 2: Convert to fraction form
    3,898.48/5,829.92 = 2,912/x
  3. Step 3: Cross multiply
    3,898.48x = 5,829.92 × 2,912
  4. Step 4: Simplify right side
    3,898.48x = 16,976,727.04
  5. Step 5: Solve for x
    x = 16,976,727.04/3,898.48
  6. Step 6: Final answer
    x = 4,354.70

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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.