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Finding the Fourth Proportional to 3,382.18, 5,071.10 and 1,409.18

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Solution

The fourth proportional to 3,382.18, 5,071.10 and 1,409.18 is: 2,112.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,382.18 : 5,071.10 = 1,409.18 : x
  2. Step 2: Convert to fraction form
    3,382.18/5,071.10 = 1,409.18/x
  3. Step 3: Cross multiply
    3,382.18x = 5,071.10 × 1,409.18
  4. Step 4: Simplify right side
    3,382.18x = 7,146,092.70
  5. Step 5: Solve for x
    x = 7,146,092.70/3,382.18
  6. Step 6: Final answer
    x = 2,112.87

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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.