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Finding the Fourth Proportional to 5,644.68, 7,789.57 and 3,092.42

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Solution

The fourth proportional to 5,644.68, 7,789.57 and 3,092.42 is: 4,267.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644.68 : 7,789.57 = 3,092.42 : x
  2. Step 2: Convert to fraction form
    5,644.68/7,789.57 = 3,092.42/x
  3. Step 3: Cross multiply
    5,644.68x = 7,789.57 × 3,092.42
  4. Step 4: Simplify right side
    5,644.68x = 24,088,575.38
  5. Step 5: Solve for x
    x = 24,088,575.38/5,644.68
  6. Step 6: Final answer
    x = 4,267.48

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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.