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Finding the Fourth Proportional to 3,791.58, 5,686.98 and 1,194.06

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Solution

The fourth proportional to 3,791.58, 5,686.98 and 1,194.06 is: 1,790.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,791.58 : 5,686.98 = 1,194.06 : x
  2. Step 2: Convert to fraction form
    3,791.58/5,686.98 = 1,194.06/x
  3. Step 3: Cross multiply
    3,791.58x = 5,686.98 × 1,194.06
  4. Step 4: Simplify right side
    3,791.58x = 6,790,595.34
  5. Step 5: Solve for x
    x = 6,790,595.34/3,791.58
  6. Step 6: Final answer
    x = 1,790.97

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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.