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Finding the Fourth Proportional to 3,263.86, 4,895.72 and 798.69

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Solution

The fourth proportional to 3,263.86, 4,895.72 and 798.69 is: 1,198.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,263.86 : 4,895.72 = 798.69 : x
  2. Step 2: Convert to fraction form
    3,263.86/4,895.72 = 798.69/x
  3. Step 3: Cross multiply
    3,263.86x = 4,895.72 × 798.69
  4. Step 4: Simplify right side
    3,263.86x = 3,910,162.61
  5. Step 5: Solve for x
    x = 3,910,162.61/3,263.86
  6. Step 6: Final answer
    x = 1,198.02

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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.