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Finding the Fourth Proportional to 4,171.99, 6,254.37 and 1,705.24

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Solution

The fourth proportional to 4,171.99, 6,254.37 and 1,705.24 is: 2,556.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,171.99 : 6,254.37 = 1,705.24 : x
  2. Step 2: Convert to fraction form
    4,171.99/6,254.37 = 1,705.24/x
  3. Step 3: Cross multiply
    4,171.99x = 6,254.37 × 1,705.24
  4. Step 4: Simplify right side
    4,171.99x = 10,665,201.90
  5. Step 5: Solve for x
    x = 10,665,201.90/4,171.99
  6. Step 6: Final answer
    x = 2,556.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.