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Finding the Fourth Proportional to 3,358.96, 5,034.10 and 1,382.22

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Solution

The fourth proportional to 3,358.96, 5,034.10 and 1,382.22 is: 2,071.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,358.96 : 5,034.10 = 1,382.22 : x
  2. Step 2: Convert to fraction form
    3,358.96/5,034.10 = 1,382.22/x
  3. Step 3: Cross multiply
    3,358.96x = 5,034.10 × 1,382.22
  4. Step 4: Simplify right side
    3,358.96x = 6,958,233.70
  5. Step 5: Solve for x
    x = 6,958,233.70/3,358.96
  6. Step 6: Final answer
    x = 2,071.54

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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.