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Finding the Fourth Proportional to 5,945.32, 8,204.53 and 3,427.42

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Solution

The fourth proportional to 5,945.32, 8,204.53 and 3,427.42 is: 4,729.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,945.32 : 8,204.53 = 3,427.42 : x
  2. Step 2: Convert to fraction form
    5,945.32/8,204.53 = 3,427.42/x
  3. Step 3: Cross multiply
    5,945.32x = 8,204.53 × 3,427.42
  4. Step 4: Simplify right side
    5,945.32x = 28,120,363.89
  5. Step 5: Solve for x
    x = 28,120,363.89/5,945.32
  6. Step 6: Final answer
    x = 4,729.83

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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.