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Finding the Fourth Proportional to 3,578.87, 4,938.76 and 2,006.93

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Solution

The fourth proportional to 3,578.87, 4,938.76 and 2,006.93 is: 2,769.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,578.87 : 4,938.76 = 2,006.93 : x
  2. Step 2: Convert to fraction form
    3,578.87/4,938.76 = 2,006.93/x
  3. Step 3: Cross multiply
    3,578.87x = 4,938.76 × 2,006.93
  4. Step 4: Simplify right side
    3,578.87x = 9,911,745.61
  5. Step 5: Solve for x
    x = 9,911,745.61/3,578.87
  6. Step 6: Final answer
    x = 2,769.52

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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.