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Finding the Fourth Proportional to 5,945.72, 8,204.42 and 3,292.46

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Solution

The fourth proportional to 5,945.72, 8,204.42 and 3,292.46 is: 4,543.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,945.72 : 8,204.42 = 3,292.46 : x
  2. Step 2: Convert to fraction form
    5,945.72/8,204.42 = 3,292.46/x
  3. Step 3: Cross multiply
    5,945.72x = 8,204.42 × 3,292.46
  4. Step 4: Simplify right side
    5,945.72x = 27,012,724.67
  5. Step 5: Solve for x
    x = 27,012,724.67/5,945.72
  6. Step 6: Final answer
    x = 4,543.22

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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.