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Finding the Fourth Proportional to 3,725.70, 5,143.73 and 2,467.83

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Solution

The fourth proportional to 3,725.70, 5,143.73 and 2,467.83 is: 3,407.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,725.70 : 5,143.73 = 2,467.83 : x
  2. Step 2: Convert to fraction form
    3,725.70/5,143.73 = 2,467.83/x
  3. Step 3: Cross multiply
    3,725.70x = 5,143.73 × 2,467.83
  4. Step 4: Simplify right side
    3,725.70x = 12,693,838.87
  5. Step 5: Solve for x
    x = 12,693,838.87/3,725.70
  6. Step 6: Final answer
    x = 3,407.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.