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Finding the Fourth Proportional to 5,018.86, 6,922.11 and 3,224.38

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Solution

The fourth proportional to 5,018.86, 6,922.11 and 3,224.38 is: 4,447.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,018.86 : 6,922.11 = 3,224.38 : x
  2. Step 2: Convert to fraction form
    5,018.86/6,922.11 = 3,224.38/x
  3. Step 3: Cross multiply
    5,018.86x = 6,922.11 × 3,224.38
  4. Step 4: Simplify right side
    5,018.86x = 22,319,513.04
  5. Step 5: Solve for x
    x = 22,319,513.04/5,018.86
  6. Step 6: Final answer
    x = 4,447.13

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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.