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Finding the Fourth Proportional to 3,952.92, 5,934.84 and 2,006.49

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Solution

The fourth proportional to 3,952.92, 5,934.84 and 2,006.49 is: 3,012.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,952.92 : 5,934.84 = 2,006.49 : x
  2. Step 2: Convert to fraction form
    3,952.92/5,934.84 = 2,006.49/x
  3. Step 3: Cross multiply
    3,952.92x = 5,934.84 × 2,006.49
  4. Step 4: Simplify right side
    3,952.92x = 11,908,197.11
  5. Step 5: Solve for x
    x = 11,908,197.11/3,952.92
  6. Step 6: Final answer
    x = 3,012.51

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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.