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Finding the Fourth Proportional to 3,857.42, 5,786.14 and 1,393.98

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Solution

The fourth proportional to 3,857.42, 5,786.14 and 1,393.98 is: 2,090.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.42 : 5,786.14 = 1,393.98 : x
  2. Step 2: Convert to fraction form
    3,857.42/5,786.14 = 1,393.98/x
  3. Step 3: Cross multiply
    3,857.42x = 5,786.14 × 1,393.98
  4. Step 4: Simplify right side
    3,857.42x = 8,065,777.34
  5. Step 5: Solve for x
    x = 8,065,777.34/3,857.42
  6. Step 6: Final answer
    x = 2,090.98

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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.