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Finding the Fourth Proportional to 5,782.42, 7,976.61 and 3,545.38

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Solution

The fourth proportional to 5,782.42, 7,976.61 and 3,545.38 is: 4,890.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,782.42 : 7,976.61 = 3,545.38 : x
  2. Step 2: Convert to fraction form
    5,782.42/7,976.61 = 3,545.38/x
  3. Step 3: Cross multiply
    5,782.42x = 7,976.61 × 3,545.38
  4. Step 4: Simplify right side
    5,782.42x = 28,280,113.56
  5. Step 5: Solve for x
    x = 28,280,113.56/5,782.42
  6. Step 6: Final answer
    x = 4,890.71

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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.