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Finding the Fourth Proportional to 3,578.38, 4,938.10 and 2,181.13

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Solution

The fourth proportional to 3,578.38, 4,938.10 and 2,181.13 is: 3,009.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,578.38 : 4,938.10 = 2,181.13 : x
  2. Step 2: Convert to fraction form
    3,578.38/4,938.10 = 2,181.13/x
  3. Step 3: Cross multiply
    3,578.38x = 4,938.10 × 2,181.13
  4. Step 4: Simplify right side
    3,578.38x = 10,770,620.25
  5. Step 5: Solve for x
    x = 10,770,620.25/3,578.38
  6. Step 6: Final answer
    x = 3,009.92

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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.