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Finding the Fourth Proportional to 6,049.17, 9,077.25 and 2,538.87

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Solution

The fourth proportional to 6,049.17, 9,077.25 and 2,538.87 is: 3,809.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,049.17 : 9,077.25 = 2,538.87 : x
  2. Step 2: Convert to fraction form
    6,049.17/9,077.25 = 2,538.87/x
  3. Step 3: Cross multiply
    6,049.17x = 9,077.25 × 2,538.87
  4. Step 4: Simplify right side
    6,049.17x = 23,045,957.71
  5. Step 5: Solve for x
    x = 23,045,957.71/6,049.17
  6. Step 6: Final answer
    x = 3,809.77

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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.