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Finding the Fourth Proportional to 5,230.83, 7,218.38 and 2,872.82

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Solution

The fourth proportional to 5,230.83, 7,218.38 and 2,872.82 is: 3,964.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,230.83 : 7,218.38 = 2,872.82 : x
  2. Step 2: Convert to fraction form
    5,230.83/7,218.38 = 2,872.82/x
  3. Step 3: Cross multiply
    5,230.83x = 7,218.38 × 2,872.82
  4. Step 4: Simplify right side
    5,230.83x = 20,737,106.43
  5. Step 5: Solve for x
    x = 20,737,106.43/5,230.83
  6. Step 6: Final answer
    x = 3,964.40

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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.