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Finding the Fourth Proportional to 5,781.26, 7,979.02 and 3,264.38

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Solution

The fourth proportional to 5,781.26, 7,979.02 and 3,264.38 is: 4,505.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,781.26 : 7,979.02 = 3,264.38 : x
  2. Step 2: Convert to fraction form
    5,781.26/7,979.02 = 3,264.38/x
  3. Step 3: Cross multiply
    5,781.26x = 7,979.02 × 3,264.38
  4. Step 4: Simplify right side
    5,781.26x = 26,046,505.25
  5. Step 5: Solve for x
    x = 26,046,505.25/5,781.26
  6. Step 6: Final answer
    x = 4,505.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.