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Finding the Fourth Proportional to 5,400.24, 7,451.76 and 3,042.36

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Solution

The fourth proportional to 5,400.24, 7,451.76 and 3,042.36 is: 4,198.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,400.24 : 7,451.76 = 3,042.36 : x
  2. Step 2: Convert to fraction form
    5,400.24/7,451.76 = 3,042.36/x
  3. Step 3: Cross multiply
    5,400.24x = 7,451.76 × 3,042.36
  4. Step 4: Simplify right side
    5,400.24x = 22,670,936.55
  5. Step 5: Solve for x
    x = 22,670,936.55/5,400.24
  6. Step 6: Final answer
    x = 4,198.14

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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.