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Finding the Fourth Proportional to 3,981.25, 5,974.44 and 1,672.75

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Solution

The fourth proportional to 3,981.25, 5,974.44 and 1,672.75 is: 2,510.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,981.25 : 5,974.44 = 1,672.75 : x
  2. Step 2: Convert to fraction form
    3,981.25/5,974.44 = 1,672.75/x
  3. Step 3: Cross multiply
    3,981.25x = 5,974.44 × 1,672.75
  4. Step 4: Simplify right side
    3,981.25x = 9,993,744.51
  5. Step 5: Solve for x
    x = 9,993,744.51/3,981.25
  6. Step 6: Final answer
    x = 2,510.20

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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.