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Finding the Fourth Proportional to 2,938.26, 4,041.82 and 2,818.38

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Solution

The fourth proportional to 2,938.26, 4,041.82 and 2,818.38 is: 3,876.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,938.26 : 4,041.82 = 2,818.38 : x
  2. Step 2: Convert to fraction form
    2,938.26/4,041.82 = 2,818.38/x
  3. Step 3: Cross multiply
    2,938.26x = 4,041.82 × 2,818.38
  4. Step 4: Simplify right side
    2,938.26x = 11,391,384.65
  5. Step 5: Solve for x
    x = 11,391,384.65/2,938.26
  6. Step 6: Final answer
    x = 3,876.92

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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.