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Finding the Fourth Proportional to 4,188.09, 6,282.14 and 1,266.24

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Solution

The fourth proportional to 4,188.09, 6,282.14 and 1,266.24 is: 1,899.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,188.09 : 6,282.14 = 1,266.24 : x
  2. Step 2: Convert to fraction form
    4,188.09/6,282.14 = 1,266.24/x
  3. Step 3: Cross multiply
    4,188.09x = 6,282.14 × 1,266.24
  4. Step 4: Simplify right side
    4,188.09x = 7,954,690.62
  5. Step 5: Solve for x
    x = 7,954,690.62/4,188.09
  6. Step 6: Final answer
    x = 1,899.36

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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.