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Finding the Fourth Proportional to 3,351.86, 5,000.58 and 3,170.42

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Solution

The fourth proportional to 3,351.86, 5,000.58 and 3,170.42 is: 4,729.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,351.86 : 5,000.58 = 3,170.42 : x
  2. Step 2: Convert to fraction form
    3,351.86/5,000.58 = 3,170.42/x
  3. Step 3: Cross multiply
    3,351.86x = 5,000.58 × 3,170.42
  4. Step 4: Simplify right side
    3,351.86x = 15,853,938.84
  5. Step 5: Solve for x
    x = 15,853,938.84/3,351.86
  6. Step 6: Final answer
    x = 4,729.89

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.