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Finding the Fourth Proportional to 6,049.13, 9,077.17 and 2,538.81

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Solution

The fourth proportional to 6,049.13, 9,077.17 and 2,538.81 is: 3,809.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,049.13 : 9,077.17 = 2,538.81 : x
  2. Step 2: Convert to fraction form
    6,049.13/9,077.17 = 2,538.81/x
  3. Step 3: Cross multiply
    6,049.13x = 9,077.17 × 2,538.81
  4. Step 4: Simplify right side
    6,049.13x = 23,045,226.31
  5. Step 5: Solve for x
    x = 23,045,226.31/6,049.13
  6. Step 6: Final answer
    x = 3,809.68

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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.