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Finding the Fourth Proportional to 3,504.96, 5,250.72 and 1,967.04

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Solution

The fourth proportional to 3,504.96, 5,250.72 and 1,967.04 is: 2,946.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,504.96 : 5,250.72 = 1,967.04 : x
  2. Step 2: Convert to fraction form
    3,504.96/5,250.72 = 1,967.04/x
  3. Step 3: Cross multiply
    3,504.96x = 5,250.72 × 1,967.04
  4. Step 4: Simplify right side
    3,504.96x = 10,328,376.27
  5. Step 5: Solve for x
    x = 10,328,376.27/3,504.96
  6. Step 6: Final answer
    x = 2,946.79

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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.