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Finding the Fourth Proportional to 4,057.96, 6,084.31 and 1,593.03

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Solution

The fourth proportional to 4,057.96, 6,084.31 and 1,593.03 is: 2,388.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,057.96 : 6,084.31 = 1,593.03 : x
  2. Step 2: Convert to fraction form
    4,057.96/6,084.31 = 1,593.03/x
  3. Step 3: Cross multiply
    4,057.96x = 6,084.31 × 1,593.03
  4. Step 4: Simplify right side
    4,057.96x = 9,692,488.36
  5. Step 5: Solve for x
    x = 9,692,488.36/4,057.96
  6. Step 6: Final answer
    x = 2,388.51

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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.