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Finding the Fourth Proportional to 3,962.93, 5,944.69 and 1,189.38

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Solution

The fourth proportional to 3,962.93, 5,944.69 and 1,189.38 is: 1,784.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,962.93 : 5,944.69 = 1,189.38 : x
  2. Step 2: Convert to fraction form
    3,962.93/5,944.69 = 1,189.38/x
  3. Step 3: Cross multiply
    3,962.93x = 5,944.69 × 1,189.38
  4. Step 4: Simplify right side
    3,962.93x = 7,070,519.17
  5. Step 5: Solve for x
    x = 7,070,519.17/3,962.93
  6. Step 6: Final answer
    x = 1,784.17

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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.