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Finding the Fourth Proportional to 3,561.61, 4,913.71 and 2,234.83

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Solution

The fourth proportional to 3,561.61, 4,913.71 and 2,234.83 is: 3,083.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,561.61 : 4,913.71 = 2,234.83 : x
  2. Step 2: Convert to fraction form
    3,561.61/4,913.71 = 2,234.83/x
  3. Step 3: Cross multiply
    3,561.61x = 4,913.71 × 2,234.83
  4. Step 4: Simplify right side
    3,561.61x = 10,981,306.52
  5. Step 5: Solve for x
    x = 10,981,306.52/3,561.61
  6. Step 6: Final answer
    x = 3,083.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.