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Finding the Fourth Proportional to 3,945.84, 5,922.36 and 1,999.38

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Solution

The fourth proportional to 3,945.84, 5,922.36 and 1,999.38 is: 3,000.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,945.84 : 5,922.36 = 1,999.38 : x
  2. Step 2: Convert to fraction form
    3,945.84/5,922.36 = 1,999.38/x
  3. Step 3: Cross multiply
    3,945.84x = 5,922.36 × 1,999.38
  4. Step 4: Simplify right side
    3,945.84x = 11,841,048.14
  5. Step 5: Solve for x
    x = 11,841,048.14/3,945.84
  6. Step 6: Final answer
    x = 3,000.89

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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.