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Finding the Fourth Proportional to 5,726.74, 8,591.75 and 2,805.90

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Solution

The fourth proportional to 5,726.74, 8,591.75 and 2,805.90 is: 4,209.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,726.74 : 8,591.75 = 2,805.90 : x
  2. Step 2: Convert to fraction form
    5,726.74/8,591.75 = 2,805.90/x
  3. Step 3: Cross multiply
    5,726.74x = 8,591.75 × 2,805.90
  4. Step 4: Simplify right side
    5,726.74x = 24,107,591.33
  5. Step 5: Solve for x
    x = 24,107,591.33/5,726.74
  6. Step 6: Final answer
    x = 4,209.65

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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.