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Finding the Fourth Proportional to 5,726.70, 8,591.81 and 3,127.82

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Solution

The fourth proportional to 5,726.70, 8,591.81 and 3,127.82 is: 4,692.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,726.70 : 8,591.81 = 3,127.82 : x
  2. Step 2: Convert to fraction form
    5,726.70/8,591.81 = 3,127.82/x
  3. Step 3: Cross multiply
    5,726.70x = 8,591.81 × 3,127.82
  4. Step 4: Simplify right side
    5,726.70x = 26,873,576.56
  5. Step 5: Solve for x
    x = 26,873,576.56/5,726.70
  6. Step 6: Final answer
    x = 4,692.68

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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.