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Finding the Fourth Proportional to 3,901.92, 5,851.56 and 2,983.44

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Solution

The fourth proportional to 3,901.92, 5,851.56 and 2,983.44 is: 4,474.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,901.92 : 5,851.56 = 2,983.44 : x
  2. Step 2: Convert to fraction form
    3,901.92/5,851.56 = 2,983.44/x
  3. Step 3: Cross multiply
    3,901.92x = 5,851.56 × 2,983.44
  4. Step 4: Simplify right side
    3,901.92x = 17,457,778.17
  5. Step 5: Solve for x
    x = 17,457,778.17/3,901.92
  6. Step 6: Final answer
    x = 4,474.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.