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Finding the Fourth Proportional to 3,678.84, 5,519.19 and 1,081.78

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Solution

The fourth proportional to 3,678.84, 5,519.19 and 1,081.78 is: 1,622.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678.84 : 5,519.19 = 1,081.78 : x
  2. Step 2: Convert to fraction form
    3,678.84/5,519.19 = 1,081.78/x
  3. Step 3: Cross multiply
    3,678.84x = 5,519.19 × 1,081.78
  4. Step 4: Simplify right side
    3,678.84x = 5,970,549.36
  5. Step 5: Solve for x
    x = 5,970,549.36/3,678.84
  6. Step 6: Final answer
    x = 1,622.94

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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.