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Finding the Fourth Proportional to 5,721.44, 8,586 and 2,023.65

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Solution

The fourth proportional to 5,721.44, 8,586 and 2,023.65 is: 3,036.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,721.44 : 8,586 = 2,023.65 : x
  2. Step 2: Convert to fraction form
    5,721.44/8,586 = 2,023.65/x
  3. Step 3: Cross multiply
    5,721.44x = 8,586 × 2,023.65
  4. Step 4: Simplify right side
    5,721.44x = 17,375,058.90
  5. Step 5: Solve for x
    x = 17,375,058.90/5,721.44
  6. Step 6: Final answer
    x = 3,036.84

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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.