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Finding the Fourth Proportional to 6,790.85, 9,371.19 and 3,806.88

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Solution

The fourth proportional to 6,790.85, 9,371.19 and 3,806.88 is: 5,253.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,790.85 : 9,371.19 = 3,806.88 : x
  2. Step 2: Convert to fraction form
    6,790.85/9,371.19 = 3,806.88/x
  3. Step 3: Cross multiply
    6,790.85x = 9,371.19 × 3,806.88
  4. Step 4: Simplify right side
    6,790.85x = 35,674,995.79
  5. Step 5: Solve for x
    x = 35,674,995.79/6,790.85
  6. Step 6: Final answer
    x = 5,253.39

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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.