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Finding the Fourth Proportional to 5,233.68, 7,222.76 and 3,462.21

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Solution

The fourth proportional to 5,233.68, 7,222.76 and 3,462.21 is: 4,778.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,233.68 : 7,222.76 = 3,462.21 : x
  2. Step 2: Convert to fraction form
    5,233.68/7,222.76 = 3,462.21/x
  3. Step 3: Cross multiply
    5,233.68x = 7,222.76 × 3,462.21
  4. Step 4: Simplify right side
    5,233.68x = 25,006,711.90
  5. Step 5: Solve for x
    x = 25,006,711.90/5,233.68
  6. Step 6: Final answer
    x = 4,778.04

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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.