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Finding the Fourth Proportional to 3,800.02, 5,700 and 1,202.92

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Solution

The fourth proportional to 3,800.02, 5,700 and 1,202.92 is: 1,804.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,800.02 : 5,700 = 1,202.92 : x
  2. Step 2: Convert to fraction form
    3,800.02/5,700 = 1,202.92/x
  3. Step 3: Cross multiply
    3,800.02x = 5,700 × 1,202.92
  4. Step 4: Simplify right side
    3,800.02x = 6,856,644
  5. Step 5: Solve for x
    x = 6,856,644/3,800.02
  6. Step 6: Final answer
    x = 1,804.37

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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.