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Finding the Fourth Proportional to 6,037.80, 9,052.65 and 2,749.20

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Solution

The fourth proportional to 6,037.80, 9,052.65 and 2,749.20 is: 4,121.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,037.80 : 9,052.65 = 2,749.20 : x
  2. Step 2: Convert to fraction form
    6,037.80/9,052.65 = 2,749.20/x
  3. Step 3: Cross multiply
    6,037.80x = 9,052.65 × 2,749.20
  4. Step 4: Simplify right side
    6,037.80x = 24,887,545.38
  5. Step 5: Solve for x
    x = 24,887,545.38/6,037.80
  6. Step 6: Final answer
    x = 4,121.96

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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.