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Finding the Fourth Proportional to 3,618.74, 5,428.17 and 1,278.68

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Solution

The fourth proportional to 3,618.74, 5,428.17 and 1,278.68 is: 1,918.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,618.74 : 5,428.17 = 1,278.68 : x
  2. Step 2: Convert to fraction form
    3,618.74/5,428.17 = 1,278.68/x
  3. Step 3: Cross multiply
    3,618.74x = 5,428.17 × 1,278.68
  4. Step 4: Simplify right side
    3,618.74x = 6,940,892.42
  5. Step 5: Solve for x
    x = 6,940,892.42/3,618.74
  6. Step 6: Final answer
    x = 1,918.04

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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.