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Finding the Fourth Proportional to 3,249.72, 4,874.45 and 1,689.17

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Solution

The fourth proportional to 3,249.72, 4,874.45 and 1,689.17 is: 2,533.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,249.72 : 4,874.45 = 1,689.17 : x
  2. Step 2: Convert to fraction form
    3,249.72/4,874.45 = 1,689.17/x
  3. Step 3: Cross multiply
    3,249.72x = 4,874.45 × 1,689.17
  4. Step 4: Simplify right side
    3,249.72x = 8,233,741.89
  5. Step 5: Solve for x
    x = 8,233,741.89/3,249.72
  6. Step 6: Final answer
    x = 2,533.68

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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.