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Finding the Fourth Proportional to 3,793.47, 5,234.97 and 2,114.86

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Solution

The fourth proportional to 3,793.47, 5,234.97 and 2,114.86 is: 2,918.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,793.47 : 5,234.97 = 2,114.86 : x
  2. Step 2: Convert to fraction form
    3,793.47/5,234.97 = 2,114.86/x
  3. Step 3: Cross multiply
    3,793.47x = 5,234.97 × 2,114.86
  4. Step 4: Simplify right side
    3,793.47x = 11,071,228.65
  5. Step 5: Solve for x
    x = 11,071,228.65/3,793.47
  6. Step 6: Final answer
    x = 2,918.50

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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.