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Finding the Fourth Proportional to 5,644.86, 7,787.22 and 3,757.32

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Solution

The fourth proportional to 5,644.86, 7,787.22 and 3,757.32 is: 5,183.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644.86 : 7,787.22 = 3,757.32 : x
  2. Step 2: Convert to fraction form
    5,644.86/7,787.22 = 3,757.32/x
  3. Step 3: Cross multiply
    5,644.86x = 7,787.22 × 3,757.32
  4. Step 4: Simplify right side
    5,644.86x = 29,259,077.45
  5. Step 5: Solve for x
    x = 29,259,077.45/5,644.86
  6. Step 6: Final answer
    x = 5,183.31

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1.5x scale

Why These Related Problems?

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