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Finding the Fourth Proportional to 6,199.47, 8,553.31 and 3,546.36

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Solution

The fourth proportional to 6,199.47, 8,553.31 and 3,546.36 is: 4,892.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,199.47 : 8,553.31 = 3,546.36 : x
  2. Step 2: Convert to fraction form
    6,199.47/8,553.31 = 3,546.36/x
  3. Step 3: Cross multiply
    6,199.47x = 8,553.31 × 3,546.36
  4. Step 4: Simplify right side
    6,199.47x = 30,333,107.59
  5. Step 5: Solve for x
    x = 30,333,107.59/6,199.47
  6. Step 6: Final answer
    x = 4,892.85

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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.