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Finding the Fourth Proportional to 5,438.05, 7,512.27 and 5,044.39

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Solution

The fourth proportional to 5,438.05, 7,512.27 and 5,044.39 is: 6,968.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,438.05 : 7,512.27 = 5,044.39 : x
  2. Step 2: Convert to fraction form
    5,438.05/7,512.27 = 5,044.39/x
  3. Step 3: Cross multiply
    5,438.05x = 7,512.27 × 5,044.39
  4. Step 4: Simplify right side
    5,438.05x = 37,894,819.67
  5. Step 5: Solve for x
    x = 37,894,819.67/5,438.05
  6. Step 6: Final answer
    x = 6,968.46

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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.