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Finding the Fourth Proportional to 3,940.16, 5,911.06 and 1,474.40

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Solution

The fourth proportional to 3,940.16, 5,911.06 and 1,474.40 is: 2,211.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,940.16 : 5,911.06 = 1,474.40 : x
  2. Step 2: Convert to fraction form
    3,940.16/5,911.06 = 1,474.40/x
  3. Step 3: Cross multiply
    3,940.16x = 5,911.06 × 1,474.40
  4. Step 4: Simplify right side
    3,940.16x = 8,715,266.86
  5. Step 5: Solve for x
    x = 8,715,266.86/3,940.16
  6. Step 6: Final answer
    x = 2,211.91

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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.