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Finding the Fourth Proportional to 3,917.66, 5,876.48 and 1,322.42

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Solution

The fourth proportional to 3,917.66, 5,876.48 and 1,322.42 is: 1,983.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,917.66 : 5,876.48 = 1,322.42 : x
  2. Step 2: Convert to fraction form
    3,917.66/5,876.48 = 1,322.42/x
  3. Step 3: Cross multiply
    3,917.66x = 5,876.48 × 1,322.42
  4. Step 4: Simplify right side
    3,917.66x = 7,771,174.68
  5. Step 5: Solve for x
    x = 7,771,174.68/3,917.66
  6. Step 6: Final answer
    x = 1,983.63

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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.