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Finding the Fourth Proportional to 4,762.74, 6,572.97 and 2,667

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Solution

The fourth proportional to 4,762.74, 6,572.97 and 2,667 is: 3,680.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762.74 : 6,572.97 = 2,667 : x
  2. Step 2: Convert to fraction form
    4,762.74/6,572.97 = 2,667/x
  3. Step 3: Cross multiply
    4,762.74x = 6,572.97 × 2,667
  4. Step 4: Simplify right side
    4,762.74x = 17,530,110.99
  5. Step 5: Solve for x
    x = 17,530,110.99/4,762.74
  6. Step 6: Final answer
    x = 3,680.68

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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.