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Finding the Fourth Proportional to 5,422.75, 7,438.39 and 5,375.95

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Solution

The fourth proportional to 5,422.75, 7,438.39 and 5,375.95 is: 7,374.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,422.75 : 7,438.39 = 5,375.95 : x
  2. Step 2: Convert to fraction form
    5,422.75/7,438.39 = 5,375.95/x
  3. Step 3: Cross multiply
    5,422.75x = 7,438.39 × 5,375.95
  4. Step 4: Simplify right side
    5,422.75x = 39,988,412.72
  5. Step 5: Solve for x
    x = 39,988,412.72/5,422.75
  6. Step 6: Final answer
    x = 7,374.19

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.