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Finding the Fourth Proportional to 3,443.34, 5,165.01 and 2,832.87

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Solution

The fourth proportional to 3,443.34, 5,165.01 and 2,832.87 is: 4,249.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,443.34 : 5,165.01 = 2,832.87 : x
  2. Step 2: Convert to fraction form
    3,443.34/5,165.01 = 2,832.87/x
  3. Step 3: Cross multiply
    3,443.34x = 5,165.01 × 2,832.87
  4. Step 4: Simplify right side
    3,443.34x = 14,631,801.88
  5. Step 5: Solve for x
    x = 14,631,801.88/3,443.34
  6. Step 6: Final answer
    x = 4,249.31

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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.