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Finding the Fourth Proportional to 4,171.99, 5,757.10 and 2,283.20

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Solution

The fourth proportional to 4,171.99, 5,757.10 and 2,283.20 is: 3,150.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,171.99 : 5,757.10 = 2,283.20 : x
  2. Step 2: Convert to fraction form
    4,171.99/5,757.10 = 2,283.20/x
  3. Step 3: Cross multiply
    4,171.99x = 5,757.10 × 2,283.20
  4. Step 4: Simplify right side
    4,171.99x = 13,144,610.72
  5. Step 5: Solve for x
    x = 13,144,610.72/4,171.99
  6. Step 6: Final answer
    x = 3,150.68

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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.