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Finding the Fourth Proportional to 3,668, 5,062.11 and 2,271.02

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Solution

The fourth proportional to 3,668, 5,062.11 and 2,271.02 is: 3,134.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668 : 5,062.11 = 2,271.02 : x
  2. Step 2: Convert to fraction form
    3,668/5,062.11 = 2,271.02/x
  3. Step 3: Cross multiply
    3,668x = 5,062.11 × 2,271.02
  4. Step 4: Simplify right side
    3,668x = 11,496,153.05
  5. Step 5: Solve for x
    x = 11,496,153.05/3,668
  6. Step 6: Final answer
    x = 3,134.17

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Why These Related Problems?

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