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Finding the Fourth Proportional to 3,671.14, 5,504.31 and 1,724.26

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Solution

The fourth proportional to 3,671.14, 5,504.31 and 1,724.26 is: 2,585.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,671.14 : 5,504.31 = 1,724.26 : x
  2. Step 2: Convert to fraction form
    3,671.14/5,504.31 = 1,724.26/x
  3. Step 3: Cross multiply
    3,671.14x = 5,504.31 × 1,724.26
  4. Step 4: Simplify right side
    3,671.14x = 9,490,861.56
  5. Step 5: Solve for x
    x = 9,490,861.56/3,671.14
  6. Step 6: Final answer
    x = 2,585.26

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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.