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Finding the Fourth Proportional to 5,589.48, 8,384.25 and 1,693.92

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Solution

The fourth proportional to 5,589.48, 8,384.25 and 1,693.92 is: 2,540.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,589.48 : 8,384.25 = 1,693.92 : x
  2. Step 2: Convert to fraction form
    5,589.48/8,384.25 = 1,693.92/x
  3. Step 3: Cross multiply
    5,589.48x = 8,384.25 × 1,693.92
  4. Step 4: Simplify right side
    5,589.48x = 14,202,248.76
  5. Step 5: Solve for x
    x = 14,202,248.76/5,589.48
  6. Step 6: Final answer
    x = 2,540.89

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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.