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Finding the Fourth Proportional to 3,982.33, 5,972.70 and 3,784.76

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Solution

The fourth proportional to 3,982.33, 5,972.70 and 3,784.76 is: 5,676.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,982.33 : 5,972.70 = 3,784.76 : x
  2. Step 2: Convert to fraction form
    3,982.33/5,972.70 = 3,784.76/x
  3. Step 3: Cross multiply
    3,982.33x = 5,972.70 × 3,784.76
  4. Step 4: Simplify right side
    3,982.33x = 22,605,242.78
  5. Step 5: Solve for x
    x = 22,605,242.78/3,982.33
  6. Step 6: Final answer
    x = 5,676.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.