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Finding the Fourth Proportional to 3,800.30, 5,700.18 and 1,027.14

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Solution

The fourth proportional to 3,800.30, 5,700.18 and 1,027.14 is: 1,540.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,800.30 : 5,700.18 = 1,027.14 : x
  2. Step 2: Convert to fraction form
    3,800.30/5,700.18 = 1,027.14/x
  3. Step 3: Cross multiply
    3,800.30x = 5,700.18 × 1,027.14
  4. Step 4: Simplify right side
    3,800.30x = 5,854,882.89
  5. Step 5: Solve for x
    x = 5,854,882.89/3,800.30
  6. Step 6: Final answer
    x = 1,540.64

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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.