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Finding the Fourth Proportional to 3,057.57, 4,586.90 and 1,327.41

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Solution

The fourth proportional to 3,057.57, 4,586.90 and 1,327.41 is: 1,991.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,057.57 : 4,586.90 = 1,327.41 : x
  2. Step 2: Convert to fraction form
    3,057.57/4,586.90 = 1,327.41/x
  3. Step 3: Cross multiply
    3,057.57x = 4,586.90 × 1,327.41
  4. Step 4: Simplify right side
    3,057.57x = 6,088,690.29
  5. Step 5: Solve for x
    x = 6,088,690.29/3,057.57
  6. Step 6: Final answer
    x = 1,991.35

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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.