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Finding the Fourth Proportional to 3,874.82, 5,812.23 and 2,725.70

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Solution

The fourth proportional to 3,874.82, 5,812.23 and 2,725.70 is: 4,088.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.82 : 5,812.23 = 2,725.70 : x
  2. Step 2: Convert to fraction form
    3,874.82/5,812.23 = 2,725.70/x
  3. Step 3: Cross multiply
    3,874.82x = 5,812.23 × 2,725.70
  4. Step 4: Simplify right side
    3,874.82x = 15,842,395.31
  5. Step 5: Solve for x
    x = 15,842,395.31/3,874.82
  6. Step 6: Final answer
    x = 4,088.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.