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Finding the Fourth Proportional to 3,917.61, 5,876.33 and 956.06

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Solution

The fourth proportional to 3,917.61, 5,876.33 and 956.06 is: 1,434.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,917.61 : 5,876.33 = 956.06 : x
  2. Step 2: Convert to fraction form
    3,917.61/5,876.33 = 956.06/x
  3. Step 3: Cross multiply
    3,917.61x = 5,876.33 × 956.06
  4. Step 4: Simplify right side
    3,917.61x = 5,618,124.06
  5. Step 5: Solve for x
    x = 5,618,124.06/3,917.61
  6. Step 6: Final answer
    x = 1,434.07

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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.