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Finding the Fourth Proportional to 5,424.75, 7,486.16 and 2,940.75

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Solution

The fourth proportional to 5,424.75, 7,486.16 and 2,940.75 is: 4,058.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,424.75 : 7,486.16 = 2,940.75 : x
  2. Step 2: Convert to fraction form
    5,424.75/7,486.16 = 2,940.75/x
  3. Step 3: Cross multiply
    5,424.75x = 7,486.16 × 2,940.75
  4. Step 4: Simplify right side
    5,424.75x = 22,014,910.32
  5. Step 5: Solve for x
    x = 22,014,910.32/5,424.75
  6. Step 6: Final answer
    x = 4,058.24

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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.