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Finding the Fourth Proportional to 5,589.40, 8,384.12 and 1,693.84

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Solution

The fourth proportional to 5,589.40, 8,384.12 and 1,693.84 is: 2,540.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,589.40 : 8,384.12 = 1,693.84 : x
  2. Step 2: Convert to fraction form
    5,589.40/8,384.12 = 1,693.84/x
  3. Step 3: Cross multiply
    5,589.40x = 8,384.12 × 1,693.84
  4. Step 4: Simplify right side
    5,589.40x = 14,201,357.82
  5. Step 5: Solve for x
    x = 14,201,357.82/5,589.40
  6. Step 6: Final answer
    x = 2,540.77

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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.