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Finding the Fourth Proportional to 3,618.46, 5,428.50 and 1,974.16

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Solution

The fourth proportional to 3,618.46, 5,428.50 and 1,974.16 is: 2,961.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,618.46 : 5,428.50 = 1,974.16 : x
  2. Step 2: Convert to fraction form
    3,618.46/5,428.50 = 1,974.16/x
  3. Step 3: Cross multiply
    3,618.46x = 5,428.50 × 1,974.16
  4. Step 4: Simplify right side
    3,618.46x = 10,716,727.56
  5. Step 5: Solve for x
    x = 10,716,727.56/3,618.46
  6. Step 6: Final answer
    x = 2,961.68

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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.