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Finding the Fourth Proportional to 3,949.95, 5,450.25 and 2,356.68

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Solution

The fourth proportional to 3,949.95, 5,450.25 and 2,356.68 is: 3,251.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,949.95 : 5,450.25 = 2,356.68 : x
  2. Step 2: Convert to fraction form
    3,949.95/5,450.25 = 2,356.68/x
  3. Step 3: Cross multiply
    3,949.95x = 5,450.25 × 2,356.68
  4. Step 4: Simplify right side
    3,949.95x = 12,844,495.17
  5. Step 5: Solve for x
    x = 12,844,495.17/3,949.95
  6. Step 6: Final answer
    x = 3,251.81

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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.