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Finding the Fourth Proportional to 3,648, 5,473.92 and 1,824

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Solution

The fourth proportional to 3,648, 5,473.92 and 1,824 is: 2,736.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,648 : 5,473.92 = 1,824 : x
  2. Step 2: Convert to fraction form
    3,648/5,473.92 = 1,824/x
  3. Step 3: Cross multiply
    3,648x = 5,473.92 × 1,824
  4. Step 4: Simplify right side
    3,648x = 9,984,430.08
  5. Step 5: Solve for x
    x = 9,984,430.08/3,648
  6. Step 6: Final answer
    x = 2,736.96

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Why These Related Problems?

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