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Finding the Fourth Proportional to 5,337.88, 8,007.42 and 2,741.42

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Solution

The fourth proportional to 5,337.88, 8,007.42 and 2,741.42 is: 4,112.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,337.88 : 8,007.42 = 2,741.42 : x
  2. Step 2: Convert to fraction form
    5,337.88/8,007.42 = 2,741.42/x
  3. Step 3: Cross multiply
    5,337.88x = 8,007.42 × 2,741.42
  4. Step 4: Simplify right side
    5,337.88x = 21,951,701.34
  5. Step 5: Solve for x
    x = 21,951,701.34/5,337.88
  6. Step 6: Final answer
    x = 4,112.44

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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.