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Finding the Fourth Proportional to 4,123, 5,689.76 and 2,467

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Solution

The fourth proportional to 4,123, 5,689.76 and 2,467 is: 3,404.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,123 : 5,689.76 = 2,467 : x
  2. Step 2: Convert to fraction form
    4,123/5,689.76 = 2,467/x
  3. Step 3: Cross multiply
    4,123x = 5,689.76 × 2,467
  4. Step 4: Simplify right side
    4,123x = 14,036,637.92
  5. Step 5: Solve for x
    x = 14,036,637.92/4,123
  6. Step 6: Final answer
    x = 3,404.47

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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.