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Finding the Fourth Proportional to 4,209.88, 5,809.64 and 2,321.42

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Solution

The fourth proportional to 4,209.88, 5,809.64 and 2,321.42 is: 3,203.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,209.88 : 5,809.64 = 2,321.42 : x
  2. Step 2: Convert to fraction form
    4,209.88/5,809.64 = 2,321.42/x
  3. Step 3: Cross multiply
    4,209.88x = 5,809.64 × 2,321.42
  4. Step 4: Simplify right side
    4,209.88x = 13,486,614.49
  5. Step 5: Solve for x
    x = 13,486,614.49/4,209.88
  6. Step 6: Final answer
    x = 3,203.56

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