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Finding the Fourth Proportional to 3,578.88, 4,938.85 and 2,182.44

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Solution

The fourth proportional to 3,578.88, 4,938.85 and 2,182.44 is: 3,011.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,578.88 : 4,938.85 = 2,182.44 : x
  2. Step 2: Convert to fraction form
    3,578.88/4,938.85 = 2,182.44/x
  3. Step 3: Cross multiply
    3,578.88x = 4,938.85 × 2,182.44
  4. Step 4: Simplify right side
    3,578.88x = 10,778,743.79
  5. Step 5: Solve for x
    x = 10,778,743.79/3,578.88
  6. Step 6: Final answer
    x = 3,011.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.