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Finding the Fourth Proportional to 3,846.08, 5,770.06 and 1,249.02

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Solution

The fourth proportional to 3,846.08, 5,770.06 and 1,249.02 is: 1,873.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.08 : 5,770.06 = 1,249.02 : x
  2. Step 2: Convert to fraction form
    3,846.08/5,770.06 = 1,249.02/x
  3. Step 3: Cross multiply
    3,846.08x = 5,770.06 × 1,249.02
  4. Step 4: Simplify right side
    3,846.08x = 7,206,920.34
  5. Step 5: Solve for x
    x = 7,206,920.34/3,846.08
  6. Step 6: Final answer
    x = 1,873.84

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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.