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Finding the Fourth Proportional to 4,187.96, 6,282.24 and 1,266.49

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Solution

The fourth proportional to 4,187.96, 6,282.24 and 1,266.49 is: 1,899.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,187.96 : 6,282.24 = 1,266.49 : x
  2. Step 2: Convert to fraction form
    4,187.96/6,282.24 = 1,266.49/x
  3. Step 3: Cross multiply
    4,187.96x = 6,282.24 × 1,266.49
  4. Step 4: Simplify right side
    4,187.96x = 7,956,394.14
  5. Step 5: Solve for x
    x = 7,956,394.14/4,187.96
  6. Step 6: Final answer
    x = 1,899.83

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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.