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Finding the Fourth Proportional to 4,091.64, 6,137.34 and 1,169.92

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Solution

The fourth proportional to 4,091.64, 6,137.34 and 1,169.92 is: 1,754.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,091.64 : 6,137.34 = 1,169.92 : x
  2. Step 2: Convert to fraction form
    4,091.64/6,137.34 = 1,169.92/x
  3. Step 3: Cross multiply
    4,091.64x = 6,137.34 × 1,169.92
  4. Step 4: Simplify right side
    4,091.64x = 7,180,196.81
  5. Step 5: Solve for x
    x = 7,180,196.81/4,091.64
  6. Step 6: Final answer
    x = 1,754.85

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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.