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Finding the Fourth Proportional to 5,753, 8,628.96 and 1,857.44

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Solution

The fourth proportional to 5,753, 8,628.96 and 1,857.44 is: 2,785.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,753 : 8,628.96 = 1,857.44 : x
  2. Step 2: Convert to fraction form
    5,753/8,628.96 = 1,857.44/x
  3. Step 3: Cross multiply
    5,753x = 8,628.96 × 1,857.44
  4. Step 4: Simplify right side
    5,753x = 16,027,775.46
  5. Step 5: Solve for x
    x = 16,027,775.46/5,753
  6. Step 6: Final answer
    x = 2,785.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.