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Finding the Fourth Proportional to 3,917.77, 5,876.67 and 996.07

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Solution

The fourth proportional to 3,917.77, 5,876.67 and 996.07 is: 1,494.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,917.77 : 5,876.67 = 996.07 : x
  2. Step 2: Convert to fraction form
    3,917.77/5,876.67 = 996.07/x
  3. Step 3: Cross multiply
    3,917.77x = 5,876.67 × 996.07
  4. Step 4: Simplify right side
    3,917.77x = 5,853,589.38
  5. Step 5: Solve for x
    x = 5,853,589.38/3,917.77
  6. Step 6: Final answer
    x = 1,494.11

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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.