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Finding the Fourth Proportional to 4,057.47, 6,086.26 and 1,424.87

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Solution

The fourth proportional to 4,057.47, 6,086.26 and 1,424.87 is: 2,137.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,057.47 : 6,086.26 = 1,424.87 : x
  2. Step 2: Convert to fraction form
    4,057.47/6,086.26 = 1,424.87/x
  3. Step 3: Cross multiply
    4,057.47x = 6,086.26 × 1,424.87
  4. Step 4: Simplify right side
    4,057.47x = 8,672,091.73
  5. Step 5: Solve for x
    x = 8,672,091.73/4,057.47
  6. Step 6: Final answer
    x = 2,137.32

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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.