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Finding the Fourth Proportional to 3,864.14, 5,797.02 and 1,266.86

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Solution

The fourth proportional to 3,864.14, 5,797.02 and 1,266.86 is: 1,900.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,864.14 : 5,797.02 = 1,266.86 : x
  2. Step 2: Convert to fraction form
    3,864.14/5,797.02 = 1,266.86/x
  3. Step 3: Cross multiply
    3,864.14x = 5,797.02 × 1,266.86
  4. Step 4: Simplify right side
    3,864.14x = 7,344,012.76
  5. Step 5: Solve for x
    x = 7,344,012.76/3,864.14
  6. Step 6: Final answer
    x = 1,900.56

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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.