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Finding the Fourth Proportional to 5,238.94, 7,230.36 and 3,001.54

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Solution

The fourth proportional to 5,238.94, 7,230.36 and 3,001.54 is: 4,142.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,238.94 : 7,230.36 = 3,001.54 : x
  2. Step 2: Convert to fraction form
    5,238.94/7,230.36 = 3,001.54/x
  3. Step 3: Cross multiply
    5,238.94x = 7,230.36 × 3,001.54
  4. Step 4: Simplify right side
    5,238.94x = 21,702,214.75
  5. Step 5: Solve for x
    x = 21,702,214.75/5,238.94
  6. Step 6: Final answer
    x = 4,142.48

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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.