Home / 3,862.64-5,785.58-2,102.56

Finding the Fourth Proportional to 3,862.64, 5,785.58 and 2,102.56

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Solution

The fourth proportional to 3,862.64, 5,785.58 and 2,102.56 is: 3,149.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,862.64 : 5,785.58 = 2,102.56 : x
  2. Step 2: Convert to fraction form
    3,862.64/5,785.58 = 2,102.56/x
  3. Step 3: Cross multiply
    3,862.64x = 5,785.58 × 2,102.56
  4. Step 4: Simplify right side
    3,862.64x = 12,164,519.88
  5. Step 5: Solve for x
    x = 12,164,519.88/3,862.64
  6. Step 6: Final answer
    x = 3,149.27

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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.