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Finding the Fourth Proportional to 3,718.86, 5,131.11 and 2,227.38

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Solution

The fourth proportional to 3,718.86, 5,131.11 and 2,227.38 is: 3,073.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,718.86 : 5,131.11 = 2,227.38 : x
  2. Step 2: Convert to fraction form
    3,718.86/5,131.11 = 2,227.38/x
  3. Step 3: Cross multiply
    3,718.86x = 5,131.11 × 2,227.38
  4. Step 4: Simplify right side
    3,718.86x = 11,428,931.79
  5. Step 5: Solve for x
    x = 11,428,931.79/3,718.86
  6. Step 6: Final answer
    x = 3,073.24

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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.