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Finding the Fourth Proportional to 5,714.38, 7,883.62 and 3,589.03

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Solution

The fourth proportional to 5,714.38, 7,883.62 and 3,589.03 is: 4,951.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.38 : 7,883.62 = 3,589.03 : x
  2. Step 2: Convert to fraction form
    5,714.38/7,883.62 = 3,589.03/x
  3. Step 3: Cross multiply
    5,714.38x = 7,883.62 × 3,589.03
  4. Step 4: Simplify right side
    5,714.38x = 28,294,548.69
  5. Step 5: Solve for x
    x = 28,294,548.69/5,714.38
  6. Step 6: Final answer
    x = 4,951.46

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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.