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Finding the Fourth Proportional to 4,191.36, 6,285.06 and 1,724.16

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Solution

The fourth proportional to 4,191.36, 6,285.06 and 1,724.16 is: 2,585.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,191.36 : 6,285.06 = 1,724.16 : x
  2. Step 2: Convert to fraction form
    4,191.36/6,285.06 = 1,724.16/x
  3. Step 3: Cross multiply
    4,191.36x = 6,285.06 × 1,724.16
  4. Step 4: Simplify right side
    4,191.36x = 10,836,449.05
  5. Step 5: Solve for x
    x = 10,836,449.05/4,191.36
  6. Step 6: Final answer
    x = 2,585.43

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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.