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Finding the Fourth Proportional to 6,286.38, 8,681.04 and 4,053.48

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Solution

The fourth proportional to 6,286.38, 8,681.04 and 4,053.48 is: 5,597.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,286.38 : 8,681.04 = 4,053.48 : x
  2. Step 2: Convert to fraction form
    6,286.38/8,681.04 = 4,053.48/x
  3. Step 3: Cross multiply
    6,286.38x = 8,681.04 × 4,053.48
  4. Step 4: Simplify right side
    6,286.38x = 35,188,422.02
  5. Step 5: Solve for x
    x = 35,188,422.02/6,286.38
  6. Step 6: Final answer
    x = 5,597.57

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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.