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Finding the Fourth Proportional to 3,771.70, 5,657.55 and 2,022.10

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Solution

The fourth proportional to 3,771.70, 5,657.55 and 2,022.10 is: 3,033.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,771.70 : 5,657.55 = 2,022.10 : x
  2. Step 2: Convert to fraction form
    3,771.70/5,657.55 = 2,022.10/x
  3. Step 3: Cross multiply
    3,771.70x = 5,657.55 × 2,022.10
  4. Step 4: Simplify right side
    3,771.70x = 11,440,131.86
  5. Step 5: Solve for x
    x = 11,440,131.86/3,771.70
  6. Step 6: Final answer
    x = 3,033.15

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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.