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Finding the Fourth Proportional to 4,311.86, 6,468.19 and 1,191.74

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Solution

The fourth proportional to 4,311.86, 6,468.19 and 1,191.74 is: 1,787.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,311.86 : 6,468.19 = 1,191.74 : x
  2. Step 2: Convert to fraction form
    4,311.86/6,468.19 = 1,191.74/x
  3. Step 3: Cross multiply
    4,311.86x = 6,468.19 × 1,191.74
  4. Step 4: Simplify right side
    4,311.86x = 7,708,365.43
  5. Step 5: Solve for x
    x = 7,708,365.43/4,311.86
  6. Step 6: Final answer
    x = 1,787.71

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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.