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Finding the Fourth Proportional to 3,807.42, 5,710.11 and 1,467.73

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Solution

The fourth proportional to 3,807.42, 5,710.11 and 1,467.73 is: 2,201.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,807.42 : 5,710.11 = 1,467.73 : x
  2. Step 2: Convert to fraction form
    3,807.42/5,710.11 = 1,467.73/x
  3. Step 3: Cross multiply
    3,807.42x = 5,710.11 × 1,467.73
  4. Step 4: Simplify right side
    3,807.42x = 8,380,899.75
  5. Step 5: Solve for x
    x = 8,380,899.75/3,807.42
  6. Step 6: Final answer
    x = 2,201.20

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1.5x scale

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.