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Finding the Fourth Proportional to 4,124, 5,691.84 and 2,468

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Solution

The fourth proportional to 4,124, 5,691.84 and 2,468 is: 3,406.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,124 : 5,691.84 = 2,468 : x
  2. Step 2: Convert to fraction form
    4,124/5,691.84 = 2,468/x
  3. Step 3: Cross multiply
    4,124x = 5,691.84 × 2,468
  4. Step 4: Simplify right side
    4,124x = 14,047,461.12
  5. Step 5: Solve for x
    x = 14,047,461.12/4,124
  6. Step 6: Final answer
    x = 3,406.27

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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.