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Finding the Fourth Proportional to 3,820.71, 5,272.11 and 2,141.73

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Solution

The fourth proportional to 3,820.71, 5,272.11 and 2,141.73 is: 2,955.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,820.71 : 5,272.11 = 2,141.73 : x
  2. Step 2: Convert to fraction form
    3,820.71/5,272.11 = 2,141.73/x
  3. Step 3: Cross multiply
    3,820.71x = 5,272.11 × 2,141.73
  4. Step 4: Simplify right side
    3,820.71x = 11,291,436.15
  5. Step 5: Solve for x
    x = 11,291,436.15/3,820.71
  6. Step 6: Final answer
    x = 2,955.32

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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.