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Finding the Fourth Proportional to 3,800.20, 5,695.02 and 2,070.28

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Solution

The fourth proportional to 3,800.20, 5,695.02 and 2,070.28 is: 3,102.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,800.20 : 5,695.02 = 2,070.28 : x
  2. Step 2: Convert to fraction form
    3,800.20/5,695.02 = 2,070.28/x
  3. Step 3: Cross multiply
    3,800.20x = 5,695.02 × 2,070.28
  4. Step 4: Simplify right side
    3,800.20x = 11,790,286.01
  5. Step 5: Solve for x
    x = 11,790,286.01/3,800.20
  6. Step 6: Final answer
    x = 3,102.54

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