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Finding the Fourth Proportional to 5,469.35, 7,550.66 and 3,679.40

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Solution

The fourth proportional to 5,469.35, 7,550.66 and 3,679.40 is: 5,079.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,469.35 : 7,550.66 = 3,679.40 : x
  2. Step 2: Convert to fraction form
    5,469.35/7,550.66 = 3,679.40/x
  3. Step 3: Cross multiply
    5,469.35x = 7,550.66 × 3,679.40
  4. Step 4: Simplify right side
    5,469.35x = 27,781,926.48
  5. Step 5: Solve for x
    x = 27,781,926.48/5,469.35
  6. Step 6: Final answer
    x = 5,079.57

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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.