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Finding the Fourth Proportional to 6,073.20, 9,101.90 and 2,739

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Solution

The fourth proportional to 6,073.20, 9,101.90 and 2,739 is: 4,104.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,073.20 : 9,101.90 = 2,739 : x
  2. Step 2: Convert to fraction form
    6,073.20/9,101.90 = 2,739/x
  3. Step 3: Cross multiply
    6,073.20x = 9,101.90 × 2,739
  4. Step 4: Simplify right side
    6,073.20x = 24,930,104.10
  5. Step 5: Solve for x
    x = 24,930,104.10/6,073.20
  6. Step 6: Final answer
    x = 4,104.94

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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.