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Finding the Fourth Proportional to 5,884.38, 8,826.72 and 1,724.52

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Solution

The fourth proportional to 5,884.38, 8,826.72 and 1,724.52 is: 2,586.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,884.38 : 8,826.72 = 1,724.52 : x
  2. Step 2: Convert to fraction form
    5,884.38/8,826.72 = 1,724.52/x
  3. Step 3: Cross multiply
    5,884.38x = 8,826.72 × 1,724.52
  4. Step 4: Simplify right side
    5,884.38x = 15,221,855.17
  5. Step 5: Solve for x
    x = 15,221,855.17/5,884.38
  6. Step 6: Final answer
    x = 2,586.82

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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.