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Finding the Fourth Proportional to 4,083.99, 5,634.27 and 2,402.73

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Solution

The fourth proportional to 4,083.99, 5,634.27 and 2,402.73 is: 3,314.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,083.99 : 5,634.27 = 2,402.73 : x
  2. Step 2: Convert to fraction form
    4,083.99/5,634.27 = 2,402.73/x
  3. Step 3: Cross multiply
    4,083.99x = 5,634.27 × 2,402.73
  4. Step 4: Simplify right side
    4,083.99x = 13,537,629.56
  5. Step 5: Solve for x
    x = 13,537,629.56/4,083.99
  6. Step 6: Final answer
    x = 3,314.81

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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.