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Finding the Fourth Proportional to 3,578.85, 4,938.82 and 2,006.95

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Solution

The fourth proportional to 3,578.85, 4,938.82 and 2,006.95 is: 2,769.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,578.85 : 4,938.82 = 2,006.95 : x
  2. Step 2: Convert to fraction form
    3,578.85/4,938.82 = 2,006.95/x
  3. Step 3: Cross multiply
    3,578.85x = 4,938.82 × 2,006.95
  4. Step 4: Simplify right side
    3,578.85x = 9,911,964.80
  5. Step 5: Solve for x
    x = 9,911,964.80/3,578.85
  6. Step 6: Final answer
    x = 2,769.59

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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.