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Finding the Fourth Proportional to 3,910.56, 5,865.80 and 988.80

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Solution

The fourth proportional to 3,910.56, 5,865.80 and 988.80 is: 1,483.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,910.56 : 5,865.80 = 988.80 : x
  2. Step 2: Convert to fraction form
    3,910.56/5,865.80 = 988.80/x
  3. Step 3: Cross multiply
    3,910.56x = 5,865.80 × 988.80
  4. Step 4: Simplify right side
    3,910.56x = 5,800,103.04
  5. Step 5: Solve for x
    x = 5,800,103.04/3,910.56
  6. Step 6: Final answer
    x = 1,483.19

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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.