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Finding the Fourth Proportional to 4,191.62, 6,284.18 and 1,727.06

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Solution

The fourth proportional to 4,191.62, 6,284.18 and 1,727.06 is: 2,589.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,191.62 : 6,284.18 = 1,727.06 : x
  2. Step 2: Convert to fraction form
    4,191.62/6,284.18 = 1,727.06/x
  3. Step 3: Cross multiply
    4,191.62x = 6,284.18 × 1,727.06
  4. Step 4: Simplify right side
    4,191.62x = 10,853,128.81
  5. Step 5: Solve for x
    x = 10,853,128.81/4,191.62
  6. Step 6: Final answer
    x = 2,589.25

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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.