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Finding the Fourth Proportional to 5,655.81, 7,805.04 and 3,137.97

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Solution

The fourth proportional to 5,655.81, 7,805.04 and 3,137.97 is: 4,330.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,655.81 : 7,805.04 = 3,137.97 : x
  2. Step 2: Convert to fraction form
    5,655.81/7,805.04 = 3,137.97/x
  3. Step 3: Cross multiply
    5,655.81x = 7,805.04 × 3,137.97
  4. Step 4: Simplify right side
    5,655.81x = 24,491,965.68
  5. Step 5: Solve for x
    x = 24,491,965.68/5,655.81
  6. Step 6: Final answer
    x = 4,330.41

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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.