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Finding the Fourth Proportional to 3,777.87, 5,665.22 and 2,022.50

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Solution

The fourth proportional to 3,777.87, 5,665.22 and 2,022.50 is: 3,032.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,777.87 : 5,665.22 = 2,022.50 : x
  2. Step 2: Convert to fraction form
    3,777.87/5,665.22 = 2,022.50/x
  3. Step 3: Cross multiply
    3,777.87x = 5,665.22 × 2,022.50
  4. Step 4: Simplify right side
    3,777.87x = 11,457,869.01
  5. Step 5: Solve for x
    x = 11,457,869.01/3,777.87
  6. Step 6: Final answer
    x = 3,032.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.