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Finding the Fourth Proportional to 3,451.84, 5,165.40 and 2,991.17

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Solution

The fourth proportional to 3,451.84, 5,165.40 and 2,991.17 is: 4,476.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,451.84 : 5,165.40 = 2,991.17 : x
  2. Step 2: Convert to fraction form
    3,451.84/5,165.40 = 2,991.17/x
  3. Step 3: Cross multiply
    3,451.84x = 5,165.40 × 2,991.17
  4. Step 4: Simplify right side
    3,451.84x = 15,450,589.52
  5. Step 5: Solve for x
    x = 15,450,589.52/3,451.84
  6. Step 6: Final answer
    x = 4,476.04

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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.