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Finding the Fourth Proportional to 3,708.38, 5,117.57 and 2,052.38

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Solution

The fourth proportional to 3,708.38, 5,117.57 and 2,052.38 is: 2,832.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,708.38 : 5,117.57 = 2,052.38 : x
  2. Step 2: Convert to fraction form
    3,708.38/5,117.57 = 2,052.38/x
  3. Step 3: Cross multiply
    3,708.38x = 5,117.57 × 2,052.38
  4. Step 4: Simplify right side
    3,708.38x = 10,503,162.47
  5. Step 5: Solve for x
    x = 10,503,162.47/3,708.38
  6. Step 6: Final answer
    x = 2,832.28

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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.