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Finding the Fourth Proportional to 5,297.67, 7,309.10 and 3,059.25

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Solution

The fourth proportional to 5,297.67, 7,309.10 and 3,059.25 is: 4,220.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297.67 : 7,309.10 = 3,059.25 : x
  2. Step 2: Convert to fraction form
    5,297.67/7,309.10 = 3,059.25/x
  3. Step 3: Cross multiply
    5,297.67x = 7,309.10 × 3,059.25
  4. Step 4: Simplify right side
    5,297.67x = 22,360,348.88
  5. Step 5: Solve for x
    x = 22,360,348.88/5,297.67
  6. Step 6: Final answer
    x = 4,220.79

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Why These Related Problems?

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