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Finding the Fourth Proportional to 3,264.42, 4,896.62 and 799.23

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Solution

The fourth proportional to 3,264.42, 4,896.62 and 799.23 is: 1,198.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,264.42 : 4,896.62 = 799.23 : x
  2. Step 2: Convert to fraction form
    3,264.42/4,896.62 = 799.23/x
  3. Step 3: Cross multiply
    3,264.42x = 4,896.62 × 799.23
  4. Step 4: Simplify right side
    3,264.42x = 3,913,525.60
  5. Step 5: Solve for x
    x = 3,913,525.60/3,264.42
  6. Step 6: Final answer
    x = 1,198.84

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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.