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Finding the Fourth Proportional to 4,103.60, 5,661 and 2,982.80

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Solution

The fourth proportional to 4,103.60, 5,661 and 2,982.80 is: 4,114.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,103.60 : 5,661 = 2,982.80 : x
  2. Step 2: Convert to fraction form
    4,103.60/5,661 = 2,982.80/x
  3. Step 3: Cross multiply
    4,103.60x = 5,661 × 2,982.80
  4. Step 4: Simplify right side
    4,103.60x = 16,885,630.80
  5. Step 5: Solve for x
    x = 16,885,630.80/4,103.60
  6. Step 6: Final answer
    x = 4,114.83

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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.