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Finding the Fourth Proportional to 4,842.22, 7,257.40 and 3,448

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Solution

The fourth proportional to 4,842.22, 7,257.40 and 3,448 is: 5,167.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,842.22 : 7,257.40 = 3,448 : x
  2. Step 2: Convert to fraction form
    4,842.22/7,257.40 = 3,448/x
  3. Step 3: Cross multiply
    4,842.22x = 7,257.40 × 3,448
  4. Step 4: Simplify right side
    4,842.22x = 25,023,515.20
  5. Step 5: Solve for x
    x = 25,023,515.20/4,842.22
  6. Step 6: Final answer
    x = 5,167.78

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Why These Related Problems?

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