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Finding the Fourth Proportional to 5,649.82, 7,794.12 and 3,523.97

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Solution

The fourth proportional to 5,649.82, 7,794.12 and 3,523.97 is: 4,861.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,649.82 : 7,794.12 = 3,523.97 : x
  2. Step 2: Convert to fraction form
    5,649.82/7,794.12 = 3,523.97/x
  3. Step 3: Cross multiply
    5,649.82x = 7,794.12 × 3,523.97
  4. Step 4: Simplify right side
    5,649.82x = 27,466,277.76
  5. Step 5: Solve for x
    x = 27,466,277.76/5,649.82
  6. Step 6: Final answer
    x = 4,861.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.