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Finding the Fourth Proportional to 3,645.24, 5,463.24 and 2,328.49

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Solution

The fourth proportional to 3,645.24, 5,463.24 and 2,328.49 is: 3,489.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,645.24 : 5,463.24 = 2,328.49 : x
  2. Step 2: Convert to fraction form
    3,645.24/5,463.24 = 2,328.49/x
  3. Step 3: Cross multiply
    3,645.24x = 5,463.24 × 2,328.49
  4. Step 4: Simplify right side
    3,645.24x = 12,721,072.39
  5. Step 5: Solve for x
    x = 12,721,072.39/3,645.24
  6. Step 6: Final answer
    x = 3,489.78

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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.