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Finding the Fourth Proportional to 3,857.96, 5,786.58 and 1,911.44

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Solution

The fourth proportional to 3,857.96, 5,786.58 and 1,911.44 is: 2,866.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.96 : 5,786.58 = 1,911.44 : x
  2. Step 2: Convert to fraction form
    3,857.96/5,786.58 = 1,911.44/x
  3. Step 3: Cross multiply
    3,857.96x = 5,786.58 × 1,911.44
  4. Step 4: Simplify right side
    3,857.96x = 11,060,700.48
  5. Step 5: Solve for x
    x = 11,060,700.48/3,857.96
  6. Step 6: Final answer
    x = 2,866.98

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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.