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Finding the Fourth Proportional to 6,020.88, 8,309.70 and 3,662.57

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Solution

The fourth proportional to 6,020.88, 8,309.70 and 3,662.57 is: 5,054.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,020.88 : 8,309.70 = 3,662.57 : x
  2. Step 2: Convert to fraction form
    6,020.88/8,309.70 = 3,662.57/x
  3. Step 3: Cross multiply
    6,020.88x = 8,309.70 × 3,662.57
  4. Step 4: Simplify right side
    6,020.88x = 30,434,816.38
  5. Step 5: Solve for x
    x = 30,434,816.38/6,020.88
  6. Step 6: Final answer
    x = 5,054.88

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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.