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Finding the Fourth Proportional to 5,191.52, 7,767.80 and 3,234.56

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Solution

The fourth proportional to 5,191.52, 7,767.80 and 3,234.56 is: 4,839.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,191.52 : 7,767.80 = 3,234.56 : x
  2. Step 2: Convert to fraction form
    5,191.52/7,767.80 = 3,234.56/x
  3. Step 3: Cross multiply
    5,191.52x = 7,767.80 × 3,234.56
  4. Step 4: Simplify right side
    5,191.52x = 25,125,415.17
  5. Step 5: Solve for x
    x = 25,125,415.17/5,191.52
  6. Step 6: Final answer
    x = 4,839.70

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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.