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Finding the Fourth Proportional to 6,592.91, 9,097.29 and 3,939.75

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Solution

The fourth proportional to 6,592.91, 9,097.29 and 3,939.75 is: 5,436.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,592.91 : 9,097.29 = 3,939.75 : x
  2. Step 2: Convert to fraction form
    6,592.91/9,097.29 = 3,939.75/x
  3. Step 3: Cross multiply
    6,592.91x = 9,097.29 × 3,939.75
  4. Step 4: Simplify right side
    6,592.91x = 35,841,048.28
  5. Step 5: Solve for x
    x = 35,841,048.28/6,592.91
  6. Step 6: Final answer
    x = 5,436.31

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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.