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Finding the Fourth Proportional to 5,806.27, 8,709.41 and 2,342.71

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Solution

The fourth proportional to 5,806.27, 8,709.41 and 2,342.71 is: 3,514.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,806.27 : 8,709.41 = 2,342.71 : x
  2. Step 2: Convert to fraction form
    5,806.27/8,709.41 = 2,342.71/x
  3. Step 3: Cross multiply
    5,806.27x = 8,709.41 × 2,342.71
  4. Step 4: Simplify right side
    5,806.27x = 20,403,621.90
  5. Step 5: Solve for x
    x = 20,403,621.90/5,806.27
  6. Step 6: Final answer
    x = 3,514.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.