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Finding the Fourth Proportional to 4,849.62, 7,274.46 and 1,729.76

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Solution

The fourth proportional to 4,849.62, 7,274.46 and 1,729.76 is: 2,594.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,849.62 : 7,274.46 = 1,729.76 : x
  2. Step 2: Convert to fraction form
    4,849.62/7,274.46 = 1,729.76/x
  3. Step 3: Cross multiply
    4,849.62x = 7,274.46 × 1,729.76
  4. Step 4: Simplify right side
    4,849.62x = 12,583,040.04
  5. Step 5: Solve for x
    x = 12,583,040.04/4,849.62
  6. Step 6: Final answer
    x = 2,594.65

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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.