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Finding the Fourth Proportional to 4,091.64, 6,137.73 and 1,169.88

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Solution

The fourth proportional to 4,091.64, 6,137.73 and 1,169.88 is: 1,754.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,091.64 : 6,137.73 = 1,169.88 : x
  2. Step 2: Convert to fraction form
    4,091.64/6,137.73 = 1,169.88/x
  3. Step 3: Cross multiply
    4,091.64x = 6,137.73 × 1,169.88
  4. Step 4: Simplify right side
    4,091.64x = 7,180,407.57
  5. Step 5: Solve for x
    x = 7,180,407.57/4,091.64
  6. Step 6: Final answer
    x = 1,754.90

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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.