Home / 3,474.24-5,212.23-1,009

Finding the Fourth Proportional to 3,474.24, 5,212.23 and 1,009

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Solution

The fourth proportional to 3,474.24, 5,212.23 and 1,009 is: 1,513.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474.24 : 5,212.23 = 1,009 : x
  2. Step 2: Convert to fraction form
    3,474.24/5,212.23 = 1,009/x
  3. Step 3: Cross multiply
    3,474.24x = 5,212.23 × 1,009
  4. Step 4: Simplify right side
    3,474.24x = 5,259,140.07
  5. Step 5: Solve for x
    x = 5,259,140.07/3,474.24
  6. Step 6: Final answer
    x = 1,513.75

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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.