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Finding the Fourth Proportional to 3,167.52, 4,367.76 and 2,223

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Solution

The fourth proportional to 3,167.52, 4,367.76 and 2,223 is: 3,065.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,167.52 : 4,367.76 = 2,223 : x
  2. Step 2: Convert to fraction form
    3,167.52/4,367.76 = 2,223/x
  3. Step 3: Cross multiply
    3,167.52x = 4,367.76 × 2,223
  4. Step 4: Simplify right side
    3,167.52x = 9,709,530.48
  5. Step 5: Solve for x
    x = 9,709,530.48/3,167.52
  6. Step 6: Final answer
    x = 3,065.34

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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.