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Finding the Fourth Proportional to 3,975.72, 5,969.43 and 2,224.16

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Solution

The fourth proportional to 3,975.72, 5,969.43 and 2,224.16 is: 3,339.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,975.72 : 5,969.43 = 2,224.16 : x
  2. Step 2: Convert to fraction form
    3,975.72/5,969.43 = 2,224.16/x
  3. Step 3: Cross multiply
    3,975.72x = 5,969.43 × 2,224.16
  4. Step 4: Simplify right side
    3,975.72x = 13,276,937.58
  5. Step 5: Solve for x
    x = 13,276,937.58/3,975.72
  6. Step 6: Final answer
    x = 3,339.51

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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.