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Finding the Fourth Proportional to 3,928.68, 5,892.84 and 1,155.24

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Solution

The fourth proportional to 3,928.68, 5,892.84 and 1,155.24 is: 1,732.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,928.68 : 5,892.84 = 1,155.24 : x
  2. Step 2: Convert to fraction form
    3,928.68/5,892.84 = 1,155.24/x
  3. Step 3: Cross multiply
    3,928.68x = 5,892.84 × 1,155.24
  4. Step 4: Simplify right side
    3,928.68x = 6,807,644.48
  5. Step 5: Solve for x
    x = 6,807,644.48/3,928.68
  6. Step 6: Final answer
    x = 1,732.81

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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.