Home / 3,857.24-5,789.10-2,009

Finding the Fourth Proportional to 3,857.24, 5,789.10 and 2,009

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Solution

The fourth proportional to 3,857.24, 5,789.10 and 2,009 is: 3,015.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.24 : 5,789.10 = 2,009 : x
  2. Step 2: Convert to fraction form
    3,857.24/5,789.10 = 2,009/x
  3. Step 3: Cross multiply
    3,857.24x = 5,789.10 × 2,009
  4. Step 4: Simplify right side
    3,857.24x = 11,630,301.90
  5. Step 5: Solve for x
    x = 11,630,301.90/3,857.24
  6. Step 6: Final answer
    x = 3,015.19

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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.