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Finding the Fourth Proportional to 5,726.77, 8,591.09 and 2,028.20

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Solution

The fourth proportional to 5,726.77, 8,591.09 and 2,028.20 is: 3,042.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,726.77 : 8,591.09 = 2,028.20 : x
  2. Step 2: Convert to fraction form
    5,726.77/8,591.09 = 2,028.20/x
  3. Step 3: Cross multiply
    5,726.77x = 8,591.09 × 2,028.20
  4. Step 4: Simplify right side
    5,726.77x = 17,424,395.64
  5. Step 5: Solve for x
    x = 17,424,395.64/5,726.77
  6. Step 6: Final answer
    x = 3,042.62

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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.