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Finding the Fourth Proportional to 3,752.38, 5,627.76 and 1,902.34

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Solution

The fourth proportional to 3,752.38, 5,627.76 and 1,902.34 is: 2,853.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,752.38 : 5,627.76 = 1,902.34 : x
  2. Step 2: Convert to fraction form
    3,752.38/5,627.76 = 1,902.34/x
  3. Step 3: Cross multiply
    3,752.38x = 5,627.76 × 1,902.34
  4. Step 4: Simplify right side
    3,752.38x = 10,705,912.96
  5. Step 5: Solve for x
    x = 10,705,912.96/3,752.38
  6. Step 6: Final answer
    x = 2,853.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.