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Finding the Fourth Proportional to 5,753.72, 8,628.75 and 1,857.22

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Solution

The fourth proportional to 5,753.72, 8,628.75 and 1,857.22 is: 2,785.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,753.72 : 8,628.75 = 1,857.22 : x
  2. Step 2: Convert to fraction form
    5,753.72/8,628.75 = 1,857.22/x
  3. Step 3: Cross multiply
    5,753.72x = 8,628.75 × 1,857.22
  4. Step 4: Simplify right side
    5,753.72x = 16,025,487.08
  5. Step 5: Solve for x
    x = 16,025,487.08/5,753.72
  6. Step 6: Final answer
    x = 2,785.24

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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.