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Finding the Fourth Proportional to 3,513.42, 4,847.07 and 2,021.34

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Solution

The fourth proportional to 3,513.42, 4,847.07 and 2,021.34 is: 2,788.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,513.42 : 4,847.07 = 2,021.34 : x
  2. Step 2: Convert to fraction form
    3,513.42/4,847.07 = 2,021.34/x
  3. Step 3: Cross multiply
    3,513.42x = 4,847.07 × 2,021.34
  4. Step 4: Simplify right side
    3,513.42x = 9,797,576.47
  5. Step 5: Solve for x
    x = 9,797,576.47/3,513.42
  6. Step 6: Final answer
    x = 2,788.62

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Why These Related Problems?

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