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Finding the Fourth Proportional to 5,944.95, 8,203.89 and 3,427.05

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Solution

The fourth proportional to 5,944.95, 8,203.89 and 3,427.05 is: 4,729.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,944.95 : 8,203.89 = 3,427.05 : x
  2. Step 2: Convert to fraction form
    5,944.95/8,203.89 = 3,427.05/x
  3. Step 3: Cross multiply
    5,944.95x = 8,203.89 × 3,427.05
  4. Step 4: Simplify right side
    5,944.95x = 28,115,141.22
  5. Step 5: Solve for x
    x = 28,115,141.22/5,944.95
  6. Step 6: Final answer
    x = 4,729.25

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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.