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Finding the Fourth Proportional to 5,344, 7,364 and 5,323.52

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Solution

The fourth proportional to 5,344, 7,364 and 5,323.52 is: 7,335.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,344 : 7,364 = 5,323.52 : x
  2. Step 2: Convert to fraction form
    5,344/7,364 = 5,323.52/x
  3. Step 3: Cross multiply
    5,344x = 7,364 × 5,323.52
  4. Step 4: Simplify right side
    5,344x = 39,202,401.28
  5. Step 5: Solve for x
    x = 39,202,401.28/5,344
  6. Step 6: Final answer
    x = 7,335.78

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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.