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Finding the Fourth Proportional to 5,438.43, 7,505.04 and 2,954.43

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Solution

The fourth proportional to 5,438.43, 7,505.04 and 2,954.43 is: 4,077.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,438.43 : 7,505.04 = 2,954.43 : x
  2. Step 2: Convert to fraction form
    5,438.43/7,505.04 = 2,954.43/x
  3. Step 3: Cross multiply
    5,438.43x = 7,505.04 × 2,954.43
  4. Step 4: Simplify right side
    5,438.43x = 22,173,115.33
  5. Step 5: Solve for x
    x = 22,173,115.33/5,438.43
  6. Step 6: Final answer
    x = 4,077.12

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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.