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Finding the Fourth Proportional to 3,116.38, 4,660.65 and 2,771.86

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Solution

The fourth proportional to 3,116.38, 4,660.65 and 2,771.86 is: 4,145.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,116.38 : 4,660.65 = 2,771.86 : x
  2. Step 2: Convert to fraction form
    3,116.38/4,660.65 = 2,771.86/x
  3. Step 3: Cross multiply
    3,116.38x = 4,660.65 × 2,771.86
  4. Step 4: Simplify right side
    3,116.38x = 12,918,669.31
  5. Step 5: Solve for x
    x = 12,918,669.31/3,116.38
  6. Step 6: Final answer
    x = 4,145.41

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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.