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Finding the Fourth Proportional to 3,932.87, 5,899.36 and 1,011.18

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Solution

The fourth proportional to 3,932.87, 5,899.36 and 1,011.18 is: 1,516.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,932.87 : 5,899.36 = 1,011.18 : x
  2. Step 2: Convert to fraction form
    3,932.87/5,899.36 = 1,011.18/x
  3. Step 3: Cross multiply
    3,932.87x = 5,899.36 × 1,011.18
  4. Step 4: Simplify right side
    3,932.87x = 5,965,314.84
  5. Step 5: Solve for x
    x = 5,965,314.84/3,932.87
  6. Step 6: Final answer
    x = 1,516.78

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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.