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Finding the Fourth Proportional to 5,395.59, 7,450.61 and 4,149

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Solution

The fourth proportional to 5,395.59, 7,450.61 and 4,149 is: 5,729.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,395.59 : 7,450.61 = 4,149 : x
  2. Step 2: Convert to fraction form
    5,395.59/7,450.61 = 4,149/x
  3. Step 3: Cross multiply
    5,395.59x = 7,450.61 × 4,149
  4. Step 4: Simplify right side
    5,395.59x = 30,912,560.15
  5. Step 5: Solve for x
    x = 30,912,560.15/5,395.59
  6. Step 6: Final answer
    x = 5,729.23

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Why These Related Problems?

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