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Finding the Fourth Proportional to 3,227.34, 4,842.23 and 1,494.75

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Solution

The fourth proportional to 3,227.34, 4,842.23 and 1,494.75 is: 2,242.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,227.34 : 4,842.23 = 1,494.75 : x
  2. Step 2: Convert to fraction form
    3,227.34/4,842.23 = 1,494.75/x
  3. Step 3: Cross multiply
    3,227.34x = 4,842.23 × 1,494.75
  4. Step 4: Simplify right side
    3,227.34x = 7,237,915.82
  5. Step 5: Solve for x
    x = 7,237,915.82/3,227.34
  6. Step 6: Final answer
    x = 2,242.69

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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.