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Finding the Fourth Proportional to 3,496.26, 5,245.18 and 1,187.76

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Solution

The fourth proportional to 3,496.26, 5,245.18 and 1,187.76 is: 1,781.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496.26 : 5,245.18 = 1,187.76 : x
  2. Step 2: Convert to fraction form
    3,496.26/5,245.18 = 1,187.76/x
  3. Step 3: Cross multiply
    3,496.26x = 5,245.18 × 1,187.76
  4. Step 4: Simplify right side
    3,496.26x = 6,230,015.00
  5. Step 5: Solve for x
    x = 6,230,015.00/3,496.26
  6. Step 6: Final answer
    x = 1,781.91

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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.