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Finding the Fourth Proportional to 3,137.89, 4,328.21 and 2,020.24

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Solution

The fourth proportional to 3,137.89, 4,328.21 and 2,020.24 is: 2,786.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137.89 : 4,328.21 = 2,020.24 : x
  2. Step 2: Convert to fraction form
    3,137.89/4,328.21 = 2,020.24/x
  3. Step 3: Cross multiply
    3,137.89x = 4,328.21 × 2,020.24
  4. Step 4: Simplify right side
    3,137.89x = 8,744,027.75
  5. Step 5: Solve for x
    x = 8,744,027.75/3,137.89
  6. Step 6: Final answer
    x = 2,786.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.