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Finding the Fourth Proportional to 3,758.86, 5,187 and 2,342.44

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Solution

The fourth proportional to 3,758.86, 5,187 and 2,342.44 is: 3,232.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,758.86 : 5,187 = 2,342.44 : x
  2. Step 2: Convert to fraction form
    3,758.86/5,187 = 2,342.44/x
  3. Step 3: Cross multiply
    3,758.86x = 5,187 × 2,342.44
  4. Step 4: Simplify right side
    3,758.86x = 12,150,236.28
  5. Step 5: Solve for x
    x = 12,150,236.28/3,758.86
  6. Step 6: Final answer
    x = 3,232.43

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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.