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Finding the Fourth Proportional to 4,209.54, 5,809.56 and 2,321.48

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Solution

The fourth proportional to 4,209.54, 5,809.56 and 2,321.48 is: 3,203.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,209.54 : 5,809.56 = 2,321.48 : x
  2. Step 2: Convert to fraction form
    4,209.54/5,809.56 = 2,321.48/x
  3. Step 3: Cross multiply
    4,209.54x = 5,809.56 × 2,321.48
  4. Step 4: Simplify right side
    4,209.54x = 13,486,748.30
  5. Step 5: Solve for x
    x = 13,486,748.30/4,209.54
  6. Step 6: Final answer
    x = 3,203.85

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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.