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Finding the Fourth Proportional to 3,884.95, 5,822.56 and 3,059.97

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Solution

The fourth proportional to 3,884.95, 5,822.56 and 3,059.97 is: 4,586.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,884.95 : 5,822.56 = 3,059.97 : x
  2. Step 2: Convert to fraction form
    3,884.95/5,822.56 = 3,059.97/x
  3. Step 3: Cross multiply
    3,884.95x = 5,822.56 × 3,059.97
  4. Step 4: Simplify right side
    3,884.95x = 17,816,858.92
  5. Step 5: Solve for x
    x = 17,816,858.92/3,884.95
  6. Step 6: Final answer
    x = 4,586.12

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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.