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Finding the Fourth Proportional to 5,729.56, 8,594.88 and 2,266

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Solution

The fourth proportional to 5,729.56, 8,594.88 and 2,266 is: 3,399.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,729.56 : 8,594.88 = 2,266 : x
  2. Step 2: Convert to fraction form
    5,729.56/8,594.88 = 2,266/x
  3. Step 3: Cross multiply
    5,729.56x = 8,594.88 × 2,266
  4. Step 4: Simplify right side
    5,729.56x = 19,475,998.08
  5. Step 5: Solve for x
    x = 19,475,998.08/5,729.56
  6. Step 6: Final answer
    x = 3,399.21

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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.