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Finding the Fourth Proportional to 3,463.27, 5,191.83 and 1,271.50

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Solution

The fourth proportional to 3,463.27, 5,191.83 and 1,271.50 is: 1,906.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,463.27 : 5,191.83 = 1,271.50 : x
  2. Step 2: Convert to fraction form
    3,463.27/5,191.83 = 1,271.50/x
  3. Step 3: Cross multiply
    3,463.27x = 5,191.83 × 1,271.50
  4. Step 4: Simplify right side
    3,463.27x = 6,601,411.85
  5. Step 5: Solve for x
    x = 6,601,411.85/3,463.27
  6. Step 6: Final answer
    x = 1,906.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.