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Finding the Fourth Proportional to 3,057.90, 4,586.42 and 1,208.54

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Solution

The fourth proportional to 3,057.90, 4,586.42 and 1,208.54 is: 1,812.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,057.90 : 4,586.42 = 1,208.54 : x
  2. Step 2: Convert to fraction form
    3,057.90/4,586.42 = 1,208.54/x
  3. Step 3: Cross multiply
    3,057.90x = 4,586.42 × 1,208.54
  4. Step 4: Simplify right side
    3,057.90x = 5,542,872.03
  5. Step 5: Solve for x
    x = 5,542,872.03/3,057.90
  6. Step 6: Final answer
    x = 1,812.64

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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.