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Finding the Fourth Proportional to 4,034.68, 5,571.66 and 3,816.52

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Solution

The fourth proportional to 4,034.68, 5,571.66 and 3,816.52 is: 5,270.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,034.68 : 5,571.66 = 3,816.52 : x
  2. Step 2: Convert to fraction form
    4,034.68/5,571.66 = 3,816.52/x
  3. Step 3: Cross multiply
    4,034.68x = 5,571.66 × 3,816.52
  4. Step 4: Simplify right side
    4,034.68x = 21,264,351.82
  5. Step 5: Solve for x
    x = 21,264,351.82/4,034.68
  6. Step 6: Final answer
    x = 5,270.39

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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.