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Finding the Fourth Proportional to 5,693.17, 8,540.67 and 2,406.75

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Solution

The fourth proportional to 5,693.17, 8,540.67 and 2,406.75 is: 3,610.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,693.17 : 8,540.67 = 2,406.75 : x
  2. Step 2: Convert to fraction form
    5,693.17/8,540.67 = 2,406.75/x
  3. Step 3: Cross multiply
    5,693.17x = 8,540.67 × 2,406.75
  4. Step 4: Simplify right side
    5,693.17x = 20,555,257.52
  5. Step 5: Solve for x
    x = 20,555,257.52/5,693.17
  6. Step 6: Final answer
    x = 3,610.51

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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.