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Finding the Fourth Proportional to 4,151.52, 6,227.70 and 1,959.66

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Solution

The fourth proportional to 4,151.52, 6,227.70 and 1,959.66 is: 2,939.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,151.52 : 6,227.70 = 1,959.66 : x
  2. Step 2: Convert to fraction form
    4,151.52/6,227.70 = 1,959.66/x
  3. Step 3: Cross multiply
    4,151.52x = 6,227.70 × 1,959.66
  4. Step 4: Simplify right side
    4,151.52x = 12,204,174.58
  5. Step 5: Solve for x
    x = 12,204,174.58/4,151.52
  6. Step 6: Final answer
    x = 2,939.69

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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.