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Finding the Fourth Proportional to 3,949.40, 5,924.50 and 1,352.54

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Solution

The fourth proportional to 3,949.40, 5,924.50 and 1,352.54 is: 2,028.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,949.40 : 5,924.50 = 1,352.54 : x
  2. Step 2: Convert to fraction form
    3,949.40/5,924.50 = 1,352.54/x
  3. Step 3: Cross multiply
    3,949.40x = 5,924.50 × 1,352.54
  4. Step 4: Simplify right side
    3,949.40x = 8,013,123.23
  5. Step 5: Solve for x
    x = 8,013,123.23/3,949.40
  6. Step 6: Final answer
    x = 2,028.95

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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.