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Finding the Fourth Proportional to 3,801.68, 5,246.34 and 2,229.80

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Solution

The fourth proportional to 3,801.68, 5,246.34 and 2,229.80 is: 3,077.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,801.68 : 5,246.34 = 2,229.80 : x
  2. Step 2: Convert to fraction form
    3,801.68/5,246.34 = 2,229.80/x
  3. Step 3: Cross multiply
    3,801.68x = 5,246.34 × 2,229.80
  4. Step 4: Simplify right side
    3,801.68x = 11,698,288.93
  5. Step 5: Solve for x
    x = 11,698,288.93/3,801.68
  6. Step 6: Final answer
    x = 3,077.14

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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.