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Finding the Fourth Proportional to 2,876.75, 4,295.40 and 2,578.33

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Solution

The fourth proportional to 2,876.75, 4,295.40 and 2,578.33 is: 3,849.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,876.75 : 4,295.40 = 2,578.33 : x
  2. Step 2: Convert to fraction form
    2,876.75/4,295.40 = 2,578.33/x
  3. Step 3: Cross multiply
    2,876.75x = 4,295.40 × 2,578.33
  4. Step 4: Simplify right side
    2,876.75x = 11,074,954.38
  5. Step 5: Solve for x
    x = 11,074,954.38/2,876.75
  6. Step 6: Final answer
    x = 3,849.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.