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Finding the Fourth Proportional to 3,837.58, 5,295.78 and 2,580.20

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Solution

The fourth proportional to 3,837.58, 5,295.78 and 2,580.20 is: 3,560.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,837.58 : 5,295.78 = 2,580.20 : x
  2. Step 2: Convert to fraction form
    3,837.58/5,295.78 = 2,580.20/x
  3. Step 3: Cross multiply
    3,837.58x = 5,295.78 × 2,580.20
  4. Step 4: Simplify right side
    3,837.58x = 13,664,194.73
  5. Step 5: Solve for x
    x = 13,664,194.73/3,837.58
  6. Step 6: Final answer
    x = 3,560.63

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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.