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Finding the Fourth Proportional to 5,945.84, 8,204.13 and 3,821.75

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Solution

The fourth proportional to 5,945.84, 8,204.13 and 3,821.75 is: 5,273.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,945.84 : 8,204.13 = 3,821.75 : x
  2. Step 2: Convert to fraction form
    5,945.84/8,204.13 = 3,821.75/x
  3. Step 3: Cross multiply
    5,945.84x = 8,204.13 × 3,821.75
  4. Step 4: Simplify right side
    5,945.84x = 31,354,133.83
  5. Step 5: Solve for x
    x = 31,354,133.83/5,945.84
  6. Step 6: Final answer
    x = 5,273.29

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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.