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Finding the Fourth Proportional to 4,198.86, 6,295.55 and 1,731.20

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Solution

The fourth proportional to 4,198.86, 6,295.55 and 1,731.20 is: 2,595.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,198.86 : 6,295.55 = 1,731.20 : x
  2. Step 2: Convert to fraction form
    4,198.86/6,295.55 = 1,731.20/x
  3. Step 3: Cross multiply
    4,198.86x = 6,295.55 × 1,731.20
  4. Step 4: Simplify right side
    4,198.86x = 10,898,816.03
  5. Step 5: Solve for x
    x = 10,898,816.03/4,198.86
  6. Step 6: Final answer
    x = 2,595.66

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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.