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Finding the Fourth Proportional to 3,474.18, 5,230.04 and 3,172.86

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Solution

The fourth proportional to 3,474.18, 5,230.04 and 3,172.86 is: 4,776.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474.18 : 5,230.04 = 3,172.86 : x
  2. Step 2: Convert to fraction form
    3,474.18/5,230.04 = 3,172.86/x
  3. Step 3: Cross multiply
    3,474.18x = 5,230.04 × 3,172.86
  4. Step 4: Simplify right side
    3,474.18x = 16,594,168.85
  5. Step 5: Solve for x
    x = 16,594,168.85/3,474.18
  6. Step 6: Final answer
    x = 4,776.43

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.