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Finding the Fourth Proportional to 3,513.62, 4,847.80 and 2,021.42

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Solution

The fourth proportional to 3,513.62, 4,847.80 and 2,021.42 is: 2,788.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,513.62 : 4,847.80 = 2,021.42 : x
  2. Step 2: Convert to fraction form
    3,513.62/4,847.80 = 2,021.42/x
  3. Step 3: Cross multiply
    3,513.62x = 4,847.80 × 2,021.42
  4. Step 4: Simplify right side
    3,513.62x = 9,799,439.88
  5. Step 5: Solve for x
    x = 9,799,439.88/3,513.62
  6. Step 6: Final answer
    x = 2,788.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.