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Finding the Fourth Proportional to 3,832.72, 5,749.12 and 1,752.64

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Solution

The fourth proportional to 3,832.72, 5,749.12 and 1,752.64 is: 2,628.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,832.72 : 5,749.12 = 1,752.64 : x
  2. Step 2: Convert to fraction form
    3,832.72/5,749.12 = 1,752.64/x
  3. Step 3: Cross multiply
    3,832.72x = 5,749.12 × 1,752.64
  4. Step 4: Simplify right side
    3,832.72x = 10,076,137.68
  5. Step 5: Solve for x
    x = 10,076,137.68/3,832.72
  6. Step 6: Final answer
    x = 2,628.98

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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.