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Finding the Fourth Proportional to 3,876.31, 5,812.26 and 2,645.21

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Solution

The fourth proportional to 3,876.31, 5,812.26 and 2,645.21 is: 3,966.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.31 : 5,812.26 = 2,645.21 : x
  2. Step 2: Convert to fraction form
    3,876.31/5,812.26 = 2,645.21/x
  3. Step 3: Cross multiply
    3,876.31x = 5,812.26 × 2,645.21
  4. Step 4: Simplify right side
    3,876.31x = 15,374,620.19
  5. Step 5: Solve for x
    x = 15,374,620.19/3,876.31
  6. Step 6: Final answer
    x = 3,966.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.