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Finding the Fourth Proportional to 4,226.62, 6,340.10 and 1,593.86

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Solution

The fourth proportional to 4,226.62, 6,340.10 and 1,593.86 is: 2,390.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,226.62 : 6,340.10 = 1,593.86 : x
  2. Step 2: Convert to fraction form
    4,226.62/6,340.10 = 1,593.86/x
  3. Step 3: Cross multiply
    4,226.62x = 6,340.10 × 1,593.86
  4. Step 4: Simplify right side
    4,226.62x = 10,105,231.79
  5. Step 5: Solve for x
    x = 10,105,231.79/4,226.62
  6. Step 6: Final answer
    x = 2,390.85

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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.