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Finding the Fourth Proportional to 5,752.64, 8,629.14 and 1,857.44

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Solution

The fourth proportional to 5,752.64, 8,629.14 and 1,857.44 is: 2,786.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,752.64 : 8,629.14 = 1,857.44 : x
  2. Step 2: Convert to fraction form
    5,752.64/8,629.14 = 1,857.44/x
  3. Step 3: Cross multiply
    5,752.64x = 8,629.14 × 1,857.44
  4. Step 4: Simplify right side
    5,752.64x = 16,028,109.80
  5. Step 5: Solve for x
    x = 16,028,109.80/5,752.64
  6. Step 6: Final answer
    x = 2,786.22

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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.