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Finding the Fourth Proportional to 3,798.24, 5,669.76 and 3,711.84

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Solution

The fourth proportional to 3,798.24, 5,669.76 and 3,711.84 is: 5,540.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,798.24 : 5,669.76 = 3,711.84 : x
  2. Step 2: Convert to fraction form
    3,798.24/5,669.76 = 3,711.84/x
  3. Step 3: Cross multiply
    3,798.24x = 5,669.76 × 3,711.84
  4. Step 4: Simplify right side
    3,798.24x = 21,045,241.96
  5. Step 5: Solve for x
    x = 21,045,241.96/3,798.24
  6. Step 6: Final answer
    x = 5,540.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.