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Finding the Fourth Proportional to 3,812.01, 5,257.60 and 2,552.66

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Solution

The fourth proportional to 3,812.01, 5,257.60 and 2,552.66 is: 3,520.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,812.01 : 5,257.60 = 2,552.66 : x
  2. Step 2: Convert to fraction form
    3,812.01/5,257.60 = 2,552.66/x
  3. Step 3: Cross multiply
    3,812.01x = 5,257.60 × 2,552.66
  4. Step 4: Simplify right side
    3,812.01x = 13,420,865.22
  5. Step 5: Solve for x
    x = 13,420,865.22/3,812.01
  6. Step 6: Final answer
    x = 3,520.68

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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.