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Finding the Fourth Proportional to 2,992.68, 4,132.46 and 2,859.06

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Solution

The fourth proportional to 2,992.68, 4,132.46 and 2,859.06 is: 3,947.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,992.68 : 4,132.46 = 2,859.06 : x
  2. Step 2: Convert to fraction form
    2,992.68/4,132.46 = 2,859.06/x
  3. Step 3: Cross multiply
    2,992.68x = 4,132.46 × 2,859.06
  4. Step 4: Simplify right side
    2,992.68x = 11,814,951.09
  5. Step 5: Solve for x
    x = 11,814,951.09/2,992.68
  6. Step 6: Final answer
    x = 3,947.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.