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Finding the Fourth Proportional to 3,578.91, 4,938.78 and 2,007.10

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Solution

The fourth proportional to 3,578.91, 4,938.78 and 2,007.10 is: 2,769.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,578.91 : 4,938.78 = 2,007.10 : x
  2. Step 2: Convert to fraction form
    3,578.91/4,938.78 = 2,007.10/x
  3. Step 3: Cross multiply
    3,578.91x = 4,938.78 × 2,007.10
  4. Step 4: Simplify right side
    3,578.91x = 9,912,625.34
  5. Step 5: Solve for x
    x = 9,912,625.34/3,578.91
  6. Step 6: Final answer
    x = 2,769.73

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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.