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Finding the Fourth Proportional to 2,750.05, 3,795.06 and 1,571.05

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Solution

The fourth proportional to 2,750.05, 3,795.06 and 1,571.05 is: 2,168.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,750.05 : 3,795.06 = 1,571.05 : x
  2. Step 2: Convert to fraction form
    2,750.05/3,795.06 = 1,571.05/x
  3. Step 3: Cross multiply
    2,750.05x = 3,795.06 × 1,571.05
  4. Step 4: Simplify right side
    2,750.05x = 5,962,229.01
  5. Step 5: Solve for x
    x = 5,962,229.01/2,750.05
  6. Step 6: Final answer
    x = 2,168.04

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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.