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Finding the Fourth Proportional to 5,758.06, 7,944.78 and 3,400.55

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Solution

The fourth proportional to 5,758.06, 7,944.78 and 3,400.55 is: 4,691.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,758.06 : 7,944.78 = 3,400.55 : x
  2. Step 2: Convert to fraction form
    5,758.06/7,944.78 = 3,400.55/x
  3. Step 3: Cross multiply
    5,758.06x = 7,944.78 × 3,400.55
  4. Step 4: Simplify right side
    5,758.06x = 27,016,621.63
  5. Step 5: Solve for x
    x = 27,016,621.63/5,758.06
  6. Step 6: Final answer
    x = 4,691.97

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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.