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Finding the Fourth Proportional to 3,918.44, 5,877.70 and 996.75

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Solution

The fourth proportional to 3,918.44, 5,877.70 and 996.75 is: 1,495.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,918.44 : 5,877.70 = 996.75 : x
  2. Step 2: Convert to fraction form
    3,918.44/5,877.70 = 996.75/x
  3. Step 3: Cross multiply
    3,918.44x = 5,877.70 × 996.75
  4. Step 4: Simplify right side
    3,918.44x = 5,858,594.98
  5. Step 5: Solve for x
    x = 5,858,594.98/3,918.44
  6. Step 6: Final answer
    x = 1,495.13

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.