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Finding the Fourth Proportional to 3,191.72, 4,780.28 and 3,138.26

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Solution

The fourth proportional to 3,191.72, 4,780.28 and 3,138.26 is: 4,700.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,191.72 : 4,780.28 = 3,138.26 : x
  2. Step 2: Convert to fraction form
    3,191.72/4,780.28 = 3,138.26/x
  3. Step 3: Cross multiply
    3,191.72x = 4,780.28 × 3,138.26
  4. Step 4: Simplify right side
    3,191.72x = 15,001,721.92
  5. Step 5: Solve for x
    x = 15,001,721.92/3,191.72
  6. Step 6: Final answer
    x = 4,700.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.