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Finding the Fourth Proportional to 4,841.22, 7,255.90 and 3,447

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Solution

The fourth proportional to 4,841.22, 7,255.90 and 3,447 is: 5,166.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,841.22 : 7,255.90 = 3,447 : x
  2. Step 2: Convert to fraction form
    4,841.22/7,255.90 = 3,447/x
  3. Step 3: Cross multiply
    4,841.22x = 7,255.90 × 3,447
  4. Step 4: Simplify right side
    4,841.22x = 25,011,087.30
  5. Step 5: Solve for x
    x = 25,011,087.30/4,841.22
  6. Step 6: Final answer
    x = 5,166.28

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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.