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Finding the Fourth Proportional to 3,966.93, 5,950.69 and 1,193.38

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Solution

The fourth proportional to 3,966.93, 5,950.69 and 1,193.38 is: 1,790.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,966.93 : 5,950.69 = 1,193.38 : x
  2. Step 2: Convert to fraction form
    3,966.93/5,950.69 = 1,193.38/x
  3. Step 3: Cross multiply
    3,966.93x = 5,950.69 × 1,193.38
  4. Step 4: Simplify right side
    3,966.93x = 7,101,434.43
  5. Step 5: Solve for x
    x = 7,101,434.43/3,966.93
  6. Step 6: Final answer
    x = 1,790.16

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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.