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Finding the Fourth Proportional to 3,234.78, 4,462.20 and 2,349.06

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Solution

The fourth proportional to 3,234.78, 4,462.20 and 2,349.06 is: 3,240.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,234.78 : 4,462.20 = 2,349.06 : x
  2. Step 2: Convert to fraction form
    3,234.78/4,462.20 = 2,349.06/x
  3. Step 3: Cross multiply
    3,234.78x = 4,462.20 × 2,349.06
  4. Step 4: Simplify right side
    3,234.78x = 10,481,975.53
  5. Step 5: Solve for x
    x = 10,481,975.53/3,234.78
  6. Step 6: Final answer
    x = 3,240.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.