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Finding the Fourth Proportional to 6,162.87, 8,507.90 and 3,806.38

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Solution

The fourth proportional to 6,162.87, 8,507.90 and 3,806.38 is: 5,254.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,162.87 : 8,507.90 = 3,806.38 : x
  2. Step 2: Convert to fraction form
    6,162.87/8,507.90 = 3,806.38/x
  3. Step 3: Cross multiply
    6,162.87x = 8,507.90 × 3,806.38
  4. Step 4: Simplify right side
    6,162.87x = 32,384,300.40
  5. Step 5: Solve for x
    x = 32,384,300.40/6,162.87
  6. Step 6: Final answer
    x = 5,254.74

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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.