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Finding the Fourth Proportional to 3,752.32, 5,177.92 and 2,096

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Solution

The fourth proportional to 3,752.32, 5,177.92 and 2,096 is: 2,892.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,752.32 : 5,177.92 = 2,096 : x
  2. Step 2: Convert to fraction form
    3,752.32/5,177.92 = 2,096/x
  3. Step 3: Cross multiply
    3,752.32x = 5,177.92 × 2,096
  4. Step 4: Simplify right side
    3,752.32x = 10,852,920.32
  5. Step 5: Solve for x
    x = 10,852,920.32/3,752.32
  6. Step 6: Final answer
    x = 2,892.32

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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.