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Finding the Fourth Proportional to 4,139.99, 5,713.21 and 2,251.60

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Solution

The fourth proportional to 4,139.99, 5,713.21 and 2,251.60 is: 3,107.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,139.99 : 5,713.21 = 2,251.60 : x
  2. Step 2: Convert to fraction form
    4,139.99/5,713.21 = 2,251.60/x
  3. Step 3: Cross multiply
    4,139.99x = 5,713.21 × 2,251.60
  4. Step 4: Simplify right side
    4,139.99x = 12,863,835.07
  5. Step 5: Solve for x
    x = 12,863,835.07/4,139.99
  6. Step 6: Final answer
    x = 3,107.21

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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.