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Finding the Fourth Proportional to 3,768.24, 5,646.24 and 3,352.80

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Solution

The fourth proportional to 3,768.24, 5,646.24 and 3,352.80 is: 5,023.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768.24 : 5,646.24 = 3,352.80 : x
  2. Step 2: Convert to fraction form
    3,768.24/5,646.24 = 3,352.80/x
  3. Step 3: Cross multiply
    3,768.24x = 5,646.24 × 3,352.80
  4. Step 4: Simplify right side
    3,768.24x = 18,930,713.47
  5. Step 5: Solve for x
    x = 18,930,713.47/3,768.24
  6. Step 6: Final answer
    x = 5,023.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.