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Finding the Fourth Proportional to 3,864.36, 5,796.72 and 1,266.60

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Solution

The fourth proportional to 3,864.36, 5,796.72 and 1,266.60 is: 1,899.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,864.36 : 5,796.72 = 1,266.60 : x
  2. Step 2: Convert to fraction form
    3,864.36/5,796.72 = 1,266.60/x
  3. Step 3: Cross multiply
    3,864.36x = 5,796.72 × 1,266.60
  4. Step 4: Simplify right side
    3,864.36x = 7,342,125.55
  5. Step 5: Solve for x
    x = 7,342,125.55/3,864.36
  6. Step 6: Final answer
    x = 1,899.96

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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.