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Finding the Fourth Proportional to 4,729.24, 7,086.50 and 1,805.95

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Solution

The fourth proportional to 4,729.24, 7,086.50 and 1,805.95 is: 2,706.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,729.24 : 7,086.50 = 1,805.95 : x
  2. Step 2: Convert to fraction form
    4,729.24/7,086.50 = 1,805.95/x
  3. Step 3: Cross multiply
    4,729.24x = 7,086.50 × 1,805.95
  4. Step 4: Simplify right side
    4,729.24x = 12,797,820.21
  5. Step 5: Solve for x
    x = 12,797,820.21/4,729.24
  6. Step 6: Final answer
    x = 2,706.11

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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.