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Finding the Fourth Proportional to 3,902.98, 5,854.24 and 1,305.92

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Solution

The fourth proportional to 3,902.98, 5,854.24 and 1,305.92 is: 1,958.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.98 : 5,854.24 = 1,305.92 : x
  2. Step 2: Convert to fraction form
    3,902.98/5,854.24 = 1,305.92/x
  3. Step 3: Cross multiply
    3,902.98x = 5,854.24 × 1,305.92
  4. Step 4: Simplify right side
    3,902.98x = 7,645,169.10
  5. Step 5: Solve for x
    x = 7,645,169.10/3,902.98
  6. Step 6: Final answer
    x = 1,958.80

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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.