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Finding the Fourth Proportional to 3,481.32, 5,219.55 and 1,724.19

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Solution

The fourth proportional to 3,481.32, 5,219.55 and 1,724.19 is: 2,585.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,481.32 : 5,219.55 = 1,724.19 : x
  2. Step 2: Convert to fraction form
    3,481.32/5,219.55 = 1,724.19/x
  3. Step 3: Cross multiply
    3,481.32x = 5,219.55 × 1,724.19
  4. Step 4: Simplify right side
    3,481.32x = 8,999,476.34
  5. Step 5: Solve for x
    x = 8,999,476.34/3,481.32
  6. Step 6: Final answer
    x = 2,585.07

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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.