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Finding the Fourth Proportional to 3,298.38, 4,947.02 and 2,321.52

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Solution

The fourth proportional to 3,298.38, 4,947.02 and 2,321.52 is: 3,481.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,298.38 : 4,947.02 = 2,321.52 : x
  2. Step 2: Convert to fraction form
    3,298.38/4,947.02 = 2,321.52/x
  3. Step 3: Cross multiply
    3,298.38x = 4,947.02 × 2,321.52
  4. Step 4: Simplify right side
    3,298.38x = 11,484,605.87
  5. Step 5: Solve for x
    x = 11,484,605.87/3,298.38
  6. Step 6: Final answer
    x = 3,481.89

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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.