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Finding the Fourth Proportional to 3,249.84, 4,874.52 and 941.40

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Solution

The fourth proportional to 3,249.84, 4,874.52 and 941.40 is: 1,412.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,249.84 : 4,874.52 = 941.40 : x
  2. Step 2: Convert to fraction form
    3,249.84/4,874.52 = 941.40/x
  3. Step 3: Cross multiply
    3,249.84x = 4,874.52 × 941.40
  4. Step 4: Simplify right side
    3,249.84x = 4,588,873.13
  5. Step 5: Solve for x
    x = 4,588,873.13/3,249.84
  6. Step 6: Final answer
    x = 1,412.03

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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.