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Finding the Fourth Proportional to 7,230.72, 9,979.47 and 4,578.38

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Solution

The fourth proportional to 7,230.72, 9,979.47 and 4,578.38 is: 6,318.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,230.72 : 9,979.47 = 4,578.38 : x
  2. Step 2: Convert to fraction form
    7,230.72/9,979.47 = 4,578.38/x
  3. Step 3: Cross multiply
    7,230.72x = 9,979.47 × 4,578.38
  4. Step 4: Simplify right side
    7,230.72x = 45,689,805.86
  5. Step 5: Solve for x
    x = 45,689,805.86/7,230.72
  6. Step 6: Final answer
    x = 6,318.85

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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.