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Finding the Fourth Proportional to 5,201.22, 7,165.88 and 3,944.10

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Solution

The fourth proportional to 5,201.22, 7,165.88 and 3,944.10 is: 5,433.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,201.22 : 7,165.88 = 3,944.10 : x
  2. Step 2: Convert to fraction form
    5,201.22/7,165.88 = 3,944.10/x
  3. Step 3: Cross multiply
    5,201.22x = 7,165.88 × 3,944.10
  4. Step 4: Simplify right side
    5,201.22x = 28,262,947.31
  5. Step 5: Solve for x
    x = 28,262,947.31/5,201.22
  6. Step 6: Final answer
    x = 5,433.91

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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.