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Finding the Fourth Proportional to 6,034.52, 9,058.28 and 2,527

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Solution

The fourth proportional to 6,034.52, 9,058.28 and 2,527 is: 3,793.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,034.52 : 9,058.28 = 2,527 : x
  2. Step 2: Convert to fraction form
    6,034.52/9,058.28 = 2,527/x
  3. Step 3: Cross multiply
    6,034.52x = 9,058.28 × 2,527
  4. Step 4: Simplify right side
    6,034.52x = 22,890,273.56
  5. Step 5: Solve for x
    x = 22,890,273.56/6,034.52
  6. Step 6: Final answer
    x = 3,793.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.