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Finding the Fourth Proportional to 5,806.65, 8,010.61 and 3,447.43

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Solution

The fourth proportional to 5,806.65, 8,010.61 and 3,447.43 is: 4,755.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,806.65 : 8,010.61 = 3,447.43 : x
  2. Step 2: Convert to fraction form
    5,806.65/8,010.61 = 3,447.43/x
  3. Step 3: Cross multiply
    5,806.65x = 8,010.61 × 3,447.43
  4. Step 4: Simplify right side
    5,806.65x = 27,615,988.59
  5. Step 5: Solve for x
    x = 27,615,988.59/5,806.65
  6. Step 6: Final answer
    x = 4,755.92

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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.