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Finding the Fourth Proportional to 3,840.66, 5,727.92 and 3,771.54

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Solution

The fourth proportional to 3,840.66, 5,727.92 and 3,771.54 is: 5,624.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.66 : 5,727.92 = 3,771.54 : x
  2. Step 2: Convert to fraction form
    3,840.66/5,727.92 = 3,771.54/x
  3. Step 3: Cross multiply
    3,840.66x = 5,727.92 × 3,771.54
  4. Step 4: Simplify right side
    3,840.66x = 21,603,060.54
  5. Step 5: Solve for x
    x = 21,603,060.54/3,840.66
  6. Step 6: Final answer
    x = 5,624.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.