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Finding the Fourth Proportional to 3,115.38, 4,659.15 and 2,770.86

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Solution

The fourth proportional to 3,115.38, 4,659.15 and 2,770.86 is: 4,143.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,115.38 : 4,659.15 = 2,770.86 : x
  2. Step 2: Convert to fraction form
    3,115.38/4,659.15 = 2,770.86/x
  3. Step 3: Cross multiply
    3,115.38x = 4,659.15 × 2,770.86
  4. Step 4: Simplify right side
    3,115.38x = 12,909,852.37
  5. Step 5: Solve for x
    x = 12,909,852.37/3,115.38
  6. Step 6: Final answer
    x = 4,143.91

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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.