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Finding the Fourth Proportional to 5,944.16, 8,203.40 and 3,291.82

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Solution

The fourth proportional to 5,944.16, 8,203.40 and 3,291.82 is: 4,542.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,944.16 : 8,203.40 = 3,291.82 : x
  2. Step 2: Convert to fraction form
    5,944.16/8,203.40 = 3,291.82/x
  3. Step 3: Cross multiply
    5,944.16x = 8,203.40 × 3,291.82
  4. Step 4: Simplify right side
    5,944.16x = 27,004,116.19
  5. Step 5: Solve for x
    x = 27,004,116.19/5,944.16
  6. Step 6: Final answer
    x = 4,542.97

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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.