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Finding the Fourth Proportional to 4,209.68, 5,809.65 and 2,441.90

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Solution

The fourth proportional to 4,209.68, 5,809.65 and 2,441.90 is: 3,369.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,209.68 : 5,809.65 = 2,441.90 : x
  2. Step 2: Convert to fraction form
    4,209.68/5,809.65 = 2,441.90/x
  3. Step 3: Cross multiply
    4,209.68x = 5,809.65 × 2,441.90
  4. Step 4: Simplify right side
    4,209.68x = 14,186,584.34
  5. Step 5: Solve for x
    x = 14,186,584.34/4,209.68
  6. Step 6: Final answer
    x = 3,369.99

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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.