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Finding the Fourth Proportional to 3,974, 5,959.06 and 1,200.14

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Solution

The fourth proportional to 3,974, 5,959.06 and 1,200.14 is: 1,799.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,974 : 5,959.06 = 1,200.14 : x
  2. Step 2: Convert to fraction form
    3,974/5,959.06 = 1,200.14/x
  3. Step 3: Cross multiply
    3,974x = 5,959.06 × 1,200.14
  4. Step 4: Simplify right side
    3,974x = 7,151,706.27
  5. Step 5: Solve for x
    x = 7,151,706.27/3,974
  6. Step 6: Final answer
    x = 1,799.62

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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.