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Finding the Fourth Proportional to 3,840.42, 5,758.08 and 1,500.65

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Solution

The fourth proportional to 3,840.42, 5,758.08 and 1,500.65 is: 2,249.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.42 : 5,758.08 = 1,500.65 : x
  2. Step 2: Convert to fraction form
    3,840.42/5,758.08 = 1,500.65/x
  3. Step 3: Cross multiply
    3,840.42x = 5,758.08 × 1,500.65
  4. Step 4: Simplify right side
    3,840.42x = 8,640,833.96
  5. Step 5: Solve for x
    x = 8,640,833.96/3,840.42
  6. Step 6: Final answer
    x = 2,249.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.