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Finding the Fourth Proportional to 3,965.11, 5,947.92 and 1,332.41

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Solution

The fourth proportional to 3,965.11, 5,947.92 and 1,332.41 is: 1,998.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965.11 : 5,947.92 = 1,332.41 : x
  2. Step 2: Convert to fraction form
    3,965.11/5,947.92 = 1,332.41/x
  3. Step 3: Cross multiply
    3,965.11x = 5,947.92 × 1,332.41
  4. Step 4: Simplify right side
    3,965.11x = 7,925,068.09
  5. Step 5: Solve for x
    x = 7,925,068.09/3,965.11
  6. Step 6: Final answer
    x = 1,998.70

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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.