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Finding the Fourth Proportional to 4,168.42, 5,754.50 and 3,222.07

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Solution

The fourth proportional to 4,168.42, 5,754.50 and 3,222.07 is: 4,448.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,168.42 : 5,754.50 = 3,222.07 : x
  2. Step 2: Convert to fraction form
    4,168.42/5,754.50 = 3,222.07/x
  3. Step 3: Cross multiply
    4,168.42x = 5,754.50 × 3,222.07
  4. Step 4: Simplify right side
    4,168.42x = 18,541,401.53
  5. Step 5: Solve for x
    x = 18,541,401.53/4,168.42
  6. Step 6: Final answer
    x = 4,448.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.