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Finding the Fourth Proportional to 3,787.24, 5,666.22 and 3,777.48

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Solution

The fourth proportional to 3,787.24, 5,666.22 and 3,777.48 is: 5,651.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,787.24 : 5,666.22 = 3,777.48 : x
  2. Step 2: Convert to fraction form
    3,787.24/5,666.22 = 3,777.48/x
  3. Step 3: Cross multiply
    3,787.24x = 5,666.22 × 3,777.48
  4. Step 4: Simplify right side
    3,787.24x = 21,404,032.73
  5. Step 5: Solve for x
    x = 21,404,032.73/3,787.24
  6. Step 6: Final answer
    x = 5,651.62

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1.5x scale

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.