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Finding the Fourth Proportional to 3,502.12, 5,249.94 and 1,309.24

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Solution

The fourth proportional to 3,502.12, 5,249.94 and 1,309.24 is: 1,962.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.12 : 5,249.94 = 1,309.24 : x
  2. Step 2: Convert to fraction form
    3,502.12/5,249.94 = 1,309.24/x
  3. Step 3: Cross multiply
    3,502.12x = 5,249.94 × 1,309.24
  4. Step 4: Simplify right side
    3,502.12x = 6,873,431.45
  5. Step 5: Solve for x
    x = 6,873,431.45/3,502.12
  6. Step 6: Final answer
    x = 1,962.65

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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.