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Finding the Fourth Proportional to 4,149, 5,725.62 and 2,493

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Solution

The fourth proportional to 4,149, 5,725.62 and 2,493 is: 3,440.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,149 : 5,725.62 = 2,493 : x
  2. Step 2: Convert to fraction form
    4,149/5,725.62 = 2,493/x
  3. Step 3: Cross multiply
    4,149x = 5,725.62 × 2,493
  4. Step 4: Simplify right side
    4,149x = 14,273,970.66
  5. Step 5: Solve for x
    x = 14,273,970.66/4,149
  6. Step 6: Final answer
    x = 3,440.34

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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.