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Finding the Fourth Proportional to 3,109.68, 4,289.22 and 2,976.84

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Solution

The fourth proportional to 3,109.68, 4,289.22 and 2,976.84 is: 4,105.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,109.68 : 4,289.22 = 2,976.84 : x
  2. Step 2: Convert to fraction form
    3,109.68/4,289.22 = 2,976.84/x
  3. Step 3: Cross multiply
    3,109.68x = 4,289.22 × 2,976.84
  4. Step 4: Simplify right side
    3,109.68x = 12,768,321.66
  5. Step 5: Solve for x
    x = 12,768,321.66/3,109.68
  6. Step 6: Final answer
    x = 4,105.99

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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.