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Finding the Fourth Proportional to 5,729.73, 8,594.46 and 2,805.99

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Solution

The fourth proportional to 5,729.73, 8,594.46 and 2,805.99 is: 4,208.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,729.73 : 8,594.46 = 2,805.99 : x
  2. Step 2: Convert to fraction form
    5,729.73/8,594.46 = 2,805.99/x
  3. Step 3: Cross multiply
    5,729.73x = 8,594.46 × 2,805.99
  4. Step 4: Simplify right side
    5,729.73x = 24,115,968.82
  5. Step 5: Solve for x
    x = 24,115,968.82/5,729.73
  6. Step 6: Final answer
    x = 4,208.92

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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.