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Finding the Fourth Proportional to 3,952.96, 5,930.88 and 2,006.08

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Solution

The fourth proportional to 3,952.96, 5,930.88 and 2,006.08 is: 3,009.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,952.96 : 5,930.88 = 2,006.08 : x
  2. Step 2: Convert to fraction form
    3,952.96/5,930.88 = 2,006.08/x
  3. Step 3: Cross multiply
    3,952.96x = 5,930.88 × 2,006.08
  4. Step 4: Simplify right side
    3,952.96x = 11,897,819.75
  5. Step 5: Solve for x
    x = 11,897,819.75/3,952.96
  6. Step 6: Final answer
    x = 3,009.85

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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.