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Finding the Fourth Proportional to 3,513.99, 4,849.47 and 2,021.88

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Solution

The fourth proportional to 3,513.99, 4,849.47 and 2,021.88 is: 2,790.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,513.99 : 4,849.47 = 2,021.88 : x
  2. Step 2: Convert to fraction form
    3,513.99/4,849.47 = 2,021.88/x
  3. Step 3: Cross multiply
    3,513.99x = 4,849.47 × 2,021.88
  4. Step 4: Simplify right side
    3,513.99x = 9,805,046.40
  5. Step 5: Solve for x
    x = 9,805,046.40/3,513.99
  6. Step 6: Final answer
    x = 2,790.29

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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.