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Finding the Fourth Proportional to 3,143.73, 4,711.13 and 2,315.49

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Solution

The fourth proportional to 3,143.73, 4,711.13 and 2,315.49 is: 3,469.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143.73 : 4,711.13 = 2,315.49 : x
  2. Step 2: Convert to fraction form
    3,143.73/4,711.13 = 2,315.49/x
  3. Step 3: Cross multiply
    3,143.73x = 4,711.13 × 2,315.49
  4. Step 4: Simplify right side
    3,143.73x = 10,908,562.83
  5. Step 5: Solve for x
    x = 10,908,562.83/3,143.73
  6. Step 6: Final answer
    x = 3,469.94

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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.