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Finding the Fourth Proportional to 4,071.52, 6,107.30 and 1,149.85

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Solution

The fourth proportional to 4,071.52, 6,107.30 and 1,149.85 is: 1,724.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,071.52 : 6,107.30 = 1,149.85 : x
  2. Step 2: Convert to fraction form
    4,071.52/6,107.30 = 1,149.85/x
  3. Step 3: Cross multiply
    4,071.52x = 6,107.30 × 1,149.85
  4. Step 4: Simplify right side
    4,071.52x = 7,022,450.75
  5. Step 5: Solve for x
    x = 7,022,450.75/4,071.52
  6. Step 6: Final answer
    x = 1,724.78

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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.