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Finding the Fourth Proportional to 5,826.59, 8,040.89 and 3,174.24

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Solution

The fourth proportional to 5,826.59, 8,040.89 and 3,174.24 is: 4,380.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,826.59 : 8,040.89 = 3,174.24 : x
  2. Step 2: Convert to fraction form
    5,826.59/8,040.89 = 3,174.24/x
  3. Step 3: Cross multiply
    5,826.59x = 8,040.89 × 3,174.24
  4. Step 4: Simplify right side
    5,826.59x = 25,523,734.91
  5. Step 5: Solve for x
    x = 25,523,734.91/5,826.59
  6. Step 6: Final answer
    x = 4,380.56

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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.