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Finding the Fourth Proportional to 5,755.56, 8,627.32 and 3,906.82

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Solution

The fourth proportional to 5,755.56, 8,627.32 and 3,906.82 is: 5,856.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,755.56 : 8,627.32 = 3,906.82 : x
  2. Step 2: Convert to fraction form
    5,755.56/8,627.32 = 3,906.82/x
  3. Step 3: Cross multiply
    5,755.56x = 8,627.32 × 3,906.82
  4. Step 4: Simplify right side
    5,755.56x = 33,705,386.32
  5. Step 5: Solve for x
    x = 33,705,386.32/5,755.56
  6. Step 6: Final answer
    x = 5,856.14

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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.