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Finding the Fourth Proportional to 5,730.27, 7,908.33 and 3,212.38

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Solution

The fourth proportional to 5,730.27, 7,908.33 and 3,212.38 is: 4,433.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,730.27 : 7,908.33 = 3,212.38 : x
  2. Step 2: Convert to fraction form
    5,730.27/7,908.33 = 3,212.38/x
  3. Step 3: Cross multiply
    5,730.27x = 7,908.33 × 3,212.38
  4. Step 4: Simplify right side
    5,730.27x = 25,404,545.06
  5. Step 5: Solve for x
    x = 25,404,545.06/5,730.27
  6. Step 6: Final answer
    x = 4,433.40

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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.