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Finding the Fourth Proportional to 3,934.32, 5,429.43 and 2,256

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Solution

The fourth proportional to 3,934.32, 5,429.43 and 2,256 is: 3,113.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,934.32 : 5,429.43 = 2,256 : x
  2. Step 2: Convert to fraction form
    3,934.32/5,429.43 = 2,256/x
  3. Step 3: Cross multiply
    3,934.32x = 5,429.43 × 2,256
  4. Step 4: Simplify right side
    3,934.32x = 12,248,794.08
  5. Step 5: Solve for x
    x = 12,248,794.08/3,934.32
  6. Step 6: Final answer
    x = 3,113.32

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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.