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Finding the Fourth Proportional to 3,678.42, 5,517.09 and 1,081.02

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Solution

The fourth proportional to 3,678.42, 5,517.09 and 1,081.02 is: 1,621.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678.42 : 5,517.09 = 1,081.02 : x
  2. Step 2: Convert to fraction form
    3,678.42/5,517.09 = 1,081.02/x
  3. Step 3: Cross multiply
    3,678.42x = 5,517.09 × 1,081.02
  4. Step 4: Simplify right side
    3,678.42x = 5,964,084.63
  5. Step 5: Solve for x
    x = 5,964,084.63/3,678.42
  6. Step 6: Final answer
    x = 1,621.37

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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.