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Finding the Fourth Proportional to 4,193.57, 6,288.71 and 1,727.75

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Solution

The fourth proportional to 4,193.57, 6,288.71 and 1,727.75 is: 2,590.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,193.57 : 6,288.71 = 1,727.75 : x
  2. Step 2: Convert to fraction form
    4,193.57/6,288.71 = 1,727.75/x
  3. Step 3: Cross multiply
    4,193.57x = 6,288.71 × 1,727.75
  4. Step 4: Simplify right side
    4,193.57x = 10,865,278.62
  5. Step 5: Solve for x
    x = 10,865,278.62/4,193.57
  6. Step 6: Final answer
    x = 2,590.94

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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.