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Finding the Fourth Proportional to 5,494.23, 7,584.84 and 3,399.57

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Solution

The fourth proportional to 5,494.23, 7,584.84 and 3,399.57 is: 4,693.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,494.23 : 7,584.84 = 3,399.57 : x
  2. Step 2: Convert to fraction form
    5,494.23/7,584.84 = 3,399.57/x
  3. Step 3: Cross multiply
    5,494.23x = 7,584.84 × 3,399.57
  4. Step 4: Simplify right side
    5,494.23x = 25,785,194.52
  5. Step 5: Solve for x
    x = 25,785,194.52/5,494.23
  6. Step 6: Final answer
    x = 4,693.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.