Home / 3,206-4,424.28-2,276.12

Finding the Fourth Proportional to 3,206, 4,424.28 and 2,276.12

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Solution

The fourth proportional to 3,206, 4,424.28 and 2,276.12 is: 3,141.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,206 : 4,424.28 = 2,276.12 : x
  2. Step 2: Convert to fraction form
    3,206/4,424.28 = 2,276.12/x
  3. Step 3: Cross multiply
    3,206x = 4,424.28 × 2,276.12
  4. Step 4: Simplify right side
    3,206x = 10,070,192.19
  5. Step 5: Solve for x
    x = 10,070,192.19/3,206
  6. Step 6: Final answer
    x = 3,141.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.