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Finding the Fourth Proportional to 4,961.86, 6,847.34 and 2,723.68

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Solution

The fourth proportional to 4,961.86, 6,847.34 and 2,723.68 is: 3,758.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,961.86 : 6,847.34 = 2,723.68 : x
  2. Step 2: Convert to fraction form
    4,961.86/6,847.34 = 2,723.68/x
  3. Step 3: Cross multiply
    4,961.86x = 6,847.34 × 2,723.68
  4. Step 4: Simplify right side
    4,961.86x = 18,649,963.01
  5. Step 5: Solve for x
    x = 18,649,963.01/4,961.86
  6. Step 6: Final answer
    x = 3,758.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.