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Finding the Fourth Proportional to 5,785.40, 8,682.42 and 3,932.12

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Solution

The fourth proportional to 5,785.40, 8,682.42 and 3,932.12 is: 5,901.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,785.40 : 8,682.42 = 3,932.12 : x
  2. Step 2: Convert to fraction form
    5,785.40/8,682.42 = 3,932.12/x
  3. Step 3: Cross multiply
    5,785.40x = 8,682.42 × 3,932.12
  4. Step 4: Simplify right side
    5,785.40x = 34,140,317.33
  5. Step 5: Solve for x
    x = 34,140,317.33/5,785.40
  6. Step 6: Final answer
    x = 5,901.12

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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.