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Finding the Fourth Proportional to 6,133.78, 8,463.45 and 3,896.02

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Solution

The fourth proportional to 6,133.78, 8,463.45 and 3,896.02 is: 5,375.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,133.78 : 8,463.45 = 3,896.02 : x
  2. Step 2: Convert to fraction form
    6,133.78/8,463.45 = 3,896.02/x
  3. Step 3: Cross multiply
    6,133.78x = 8,463.45 × 3,896.02
  4. Step 4: Simplify right side
    6,133.78x = 32,973,770.47
  5. Step 5: Solve for x
    x = 32,973,770.47/6,133.78
  6. Step 6: Final answer
    x = 5,375.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.