Home / 4,209.82-5,809.50-2,321.39

Finding the Fourth Proportional to 4,209.82, 5,809.50 and 2,321.39

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Solution

The fourth proportional to 4,209.82, 5,809.50 and 2,321.39 is: 3,203.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,209.82 : 5,809.50 = 2,321.39 : x
  2. Step 2: Convert to fraction form
    4,209.82/5,809.50 = 2,321.39/x
  3. Step 3: Cross multiply
    4,209.82x = 5,809.50 × 2,321.39
  4. Step 4: Simplify right side
    4,209.82x = 13,486,129.73
  5. Step 5: Solve for x
    x = 13,486,129.73/4,209.82
  6. Step 6: Final answer
    x = 3,203.50

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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.