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Finding the Fourth Proportional to 3,487.09, 5,226.18 and 1,634.11

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Solution

The fourth proportional to 3,487.09, 5,226.18 and 1,634.11 is: 2,449.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,487.09 : 5,226.18 = 1,634.11 : x
  2. Step 2: Convert to fraction form
    3,487.09/5,226.18 = 1,634.11/x
  3. Step 3: Cross multiply
    3,487.09x = 5,226.18 × 1,634.11
  4. Step 4: Simplify right side
    3,487.09x = 8,540,166.07
  5. Step 5: Solve for x
    x = 8,540,166.07/3,487.09
  6. Step 6: Final answer
    x = 2,449.08

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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.