Home / 4,119.04-5,684.28-2,256

Finding the Fourth Proportional to 4,119.04, 5,684.28 and 2,256

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Solution

The fourth proportional to 4,119.04, 5,684.28 and 2,256 is: 3,113.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,119.04 : 5,684.28 = 2,256 : x
  2. Step 2: Convert to fraction form
    4,119.04/5,684.28 = 2,256/x
  3. Step 3: Cross multiply
    4,119.04x = 5,684.28 × 2,256
  4. Step 4: Simplify right side
    4,119.04x = 12,823,735.68
  5. Step 5: Solve for x
    x = 12,823,735.68/4,119.04
  6. Step 6: Final answer
    x = 3,113.28

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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.