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Finding the Fourth Proportional to 6,590.43, 9,093.87 and 3,939.03

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Solution

The fourth proportional to 6,590.43, 9,093.87 and 3,939.03 is: 5,435.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,590.43 : 9,093.87 = 3,939.03 : x
  2. Step 2: Convert to fraction form
    6,590.43/9,093.87 = 3,939.03/x
  3. Step 3: Cross multiply
    6,590.43x = 9,093.87 × 3,939.03
  4. Step 4: Simplify right side
    6,590.43x = 35,821,026.75
  5. Step 5: Solve for x
    x = 35,821,026.75/6,590.43
  6. Step 6: Final answer
    x = 5,435.31

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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.