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Finding the Fourth Proportional to 3,498.96, 5,249.64 and 1,192.08

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Solution

The fourth proportional to 3,498.96, 5,249.64 and 1,192.08 is: 1,788.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,498.96 : 5,249.64 = 1,192.08 : x
  2. Step 2: Convert to fraction form
    3,498.96/5,249.64 = 1,192.08/x
  3. Step 3: Cross multiply
    3,498.96x = 5,249.64 × 1,192.08
  4. Step 4: Simplify right side
    3,498.96x = 6,257,990.85
  5. Step 5: Solve for x
    x = 6,257,990.85/3,498.96
  6. Step 6: Final answer
    x = 1,788.53

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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.