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Finding the Fourth Proportional to 6,133.42, 8,460.75 and 3,893.78

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Solution

The fourth proportional to 6,133.42, 8,460.75 and 3,893.78 is: 5,371.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,133.42 : 8,460.75 = 3,893.78 : x
  2. Step 2: Convert to fraction form
    6,133.42/8,460.75 = 3,893.78/x
  3. Step 3: Cross multiply
    6,133.42x = 8,460.75 × 3,893.78
  4. Step 4: Simplify right side
    6,133.42x = 32,944,299.14
  5. Step 5: Solve for x
    x = 32,944,299.14/6,133.42
  6. Step 6: Final answer
    x = 5,371.28

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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.