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Finding the Fourth Proportional to 3,630.75, 5,010.48 and 1,974.75

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Solution

The fourth proportional to 3,630.75, 5,010.48 and 1,974.75 is: 2,725.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,630.75 : 5,010.48 = 1,974.75 : x
  2. Step 2: Convert to fraction form
    3,630.75/5,010.48 = 1,974.75/x
  3. Step 3: Cross multiply
    3,630.75x = 5,010.48 × 1,974.75
  4. Step 4: Simplify right side
    3,630.75x = 9,894,445.38
  5. Step 5: Solve for x
    x = 9,894,445.38/3,630.75
  6. Step 6: Final answer
    x = 2,725.18

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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.