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Finding the Fourth Proportional to 4,782.97, 7,171.68 and 1,857.88

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Solution

The fourth proportional to 4,782.97, 7,171.68 and 1,857.88 is: 2,785.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,782.97 : 7,171.68 = 1,857.88 : x
  2. Step 2: Convert to fraction form
    4,782.97/7,171.68 = 1,857.88/x
  3. Step 3: Cross multiply
    4,782.97x = 7,171.68 × 1,857.88
  4. Step 4: Simplify right side
    4,782.97x = 13,324,120.84
  5. Step 5: Solve for x
    x = 13,324,120.84/4,782.97
  6. Step 6: Final answer
    x = 2,785.74

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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.