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Finding the Fourth Proportional to 4,209.79, 5,809.11 and 2,441.21

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Solution

The fourth proportional to 4,209.79, 5,809.11 and 2,441.21 is: 3,368.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,209.79 : 5,809.11 = 2,441.21 : x
  2. Step 2: Convert to fraction form
    4,209.79/5,809.11 = 2,441.21/x
  3. Step 3: Cross multiply
    4,209.79x = 5,809.11 × 2,441.21
  4. Step 4: Simplify right side
    4,209.79x = 14,181,257.42
  5. Step 5: Solve for x
    x = 14,181,257.42/4,209.79
  6. Step 6: Final answer
    x = 3,368.64

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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.