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Finding the Fourth Proportional to 4,185.88, 6,278.82 and 1,107.88

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Solution

The fourth proportional to 4,185.88, 6,278.82 and 1,107.88 is: 1,661.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,185.88 : 6,278.82 = 1,107.88 : x
  2. Step 2: Convert to fraction form
    4,185.88/6,278.82 = 1,107.88/x
  3. Step 3: Cross multiply
    4,185.88x = 6,278.82 × 1,107.88
  4. Step 4: Simplify right side
    4,185.88x = 6,956,142.17
  5. Step 5: Solve for x
    x = 6,956,142.17/4,185.88
  6. Step 6: Final answer
    x = 1,661.81

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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.