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Finding the Fourth Proportional to 4,121.52, 6,177.97 and 2,040.22

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Solution

The fourth proportional to 4,121.52, 6,177.97 and 2,040.22 is: 3,058.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,121.52 : 6,177.97 = 2,040.22 : x
  2. Step 2: Convert to fraction form
    4,121.52/6,177.97 = 2,040.22/x
  3. Step 3: Cross multiply
    4,121.52x = 6,177.97 × 2,040.22
  4. Step 4: Simplify right side
    4,121.52x = 12,604,417.95
  5. Step 5: Solve for x
    x = 12,604,417.95/4,121.52
  6. Step 6: Final answer
    x = 3,058.20

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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.