Home / 5,204.82-7,806.65-1,309.22

Finding the Fourth Proportional to 5,204.82, 7,806.65 and 1,309.22

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Solution

The fourth proportional to 5,204.82, 7,806.65 and 1,309.22 is: 1,963.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,204.82 : 7,806.65 = 1,309.22 : x
  2. Step 2: Convert to fraction form
    5,204.82/7,806.65 = 1,309.22/x
  3. Step 3: Cross multiply
    5,204.82x = 7,806.65 × 1,309.22
  4. Step 4: Simplify right side
    5,204.82x = 10,220,576.73
  5. Step 5: Solve for x
    x = 10,220,576.73/5,204.82
  6. Step 6: Final answer
    x = 1,963.68

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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.