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Finding the Fourth Proportional to 3,284.56, 4,911.87 and 2,452.20

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Solution

The fourth proportional to 3,284.56, 4,911.87 and 2,452.20 is: 3,667.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,284.56 : 4,911.87 = 2,452.20 : x
  2. Step 2: Convert to fraction form
    3,284.56/4,911.87 = 2,452.20/x
  3. Step 3: Cross multiply
    3,284.56x = 4,911.87 × 2,452.20
  4. Step 4: Simplify right side
    3,284.56x = 12,044,892.23
  5. Step 5: Solve for x
    x = 12,044,892.23/3,284.56
  6. Step 6: Final answer
    x = 3,667.13

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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.