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Finding the Fourth Proportional to 3,900.27, 5,850.18 and 1,267.74

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Solution

The fourth proportional to 3,900.27, 5,850.18 and 1,267.74 is: 1,901.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,900.27 : 5,850.18 = 1,267.74 : x
  2. Step 2: Convert to fraction form
    3,900.27/5,850.18 = 1,267.74/x
  3. Step 3: Cross multiply
    3,900.27x = 5,850.18 × 1,267.74
  4. Step 4: Simplify right side
    3,900.27x = 7,416,507.19
  5. Step 5: Solve for x
    x = 7,416,507.19/3,900.27
  6. Step 6: Final answer
    x = 1,901.54

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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.