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Finding the Fourth Proportional to 3,993.68, 5,981.88 and 2,450

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Solution

The fourth proportional to 3,993.68, 5,981.88 and 2,450 is: 3,669.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,993.68 : 5,981.88 = 2,450 : x
  2. Step 2: Convert to fraction form
    3,993.68/5,981.88 = 2,450/x
  3. Step 3: Cross multiply
    3,993.68x = 5,981.88 × 2,450
  4. Step 4: Simplify right side
    3,993.68x = 14,655,606
  5. Step 5: Solve for x
    x = 14,655,606/3,993.68
  6. Step 6: Final answer
    x = 3,669.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.