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Finding the Fourth Proportional to 3,441.75, 5,162.09 and 2,860.49

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Solution

The fourth proportional to 3,441.75, 5,162.09 and 2,860.49 is: 4,290.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,441.75 : 5,162.09 = 2,860.49 : x
  2. Step 2: Convert to fraction form
    3,441.75/5,162.09 = 2,860.49/x
  3. Step 3: Cross multiply
    3,441.75x = 5,162.09 × 2,860.49
  4. Step 4: Simplify right side
    3,441.75x = 14,766,066.71
  5. Step 5: Solve for x
    x = 14,766,066.71/3,441.75
  6. Step 6: Final answer
    x = 4,290.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.