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Finding the Fourth Proportional to 3,817.61, 5,726.10 and 2,711.79

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Solution

The fourth proportional to 3,817.61, 5,726.10 and 2,711.79 is: 4,067.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,817.61 : 5,726.10 = 2,711.79 : x
  2. Step 2: Convert to fraction form
    3,817.61/5,726.10 = 2,711.79/x
  3. Step 3: Cross multiply
    3,817.61x = 5,726.10 × 2,711.79
  4. Step 4: Simplify right side
    3,817.61x = 15,527,980.72
  5. Step 5: Solve for x
    x = 15,527,980.72/3,817.61
  6. Step 6: Final answer
    x = 4,067.47

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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.