Home / 3,206-4,809.52-1,126.56

Finding the Fourth Proportional to 3,206, 4,809.52 and 1,126.56

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Solution

The fourth proportional to 3,206, 4,809.52 and 1,126.56 is: 1,690.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,206 : 4,809.52 = 1,126.56 : x
  2. Step 2: Convert to fraction form
    3,206/4,809.52 = 1,126.56/x
  3. Step 3: Cross multiply
    3,206x = 4,809.52 × 1,126.56
  4. Step 4: Simplify right side
    3,206x = 5,418,212.85
  5. Step 5: Solve for x
    x = 5,418,212.85/3,206
  6. Step 6: Final answer
    x = 1,690.02

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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.