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Finding the Fourth Proportional to 5,152.39, 7,108.28 and 3,361.97

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Solution

The fourth proportional to 5,152.39, 7,108.28 and 3,361.97 is: 4,638.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,152.39 : 7,108.28 = 3,361.97 : x
  2. Step 2: Convert to fraction form
    5,152.39/7,108.28 = 3,361.97/x
  3. Step 3: Cross multiply
    5,152.39x = 7,108.28 × 3,361.97
  4. Step 4: Simplify right side
    5,152.39x = 23,897,850.29
  5. Step 5: Solve for x
    x = 23,897,850.29/5,152.39
  6. Step 6: Final answer
    x = 4,638.21

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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.