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Finding the Fourth Proportional to 4,843.42, 7,266.50 and 2,504.70

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Solution

The fourth proportional to 4,843.42, 7,266.50 and 2,504.70 is: 3,757.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,843.42 : 7,266.50 = 2,504.70 : x
  2. Step 2: Convert to fraction form
    4,843.42/7,266.50 = 2,504.70/x
  3. Step 3: Cross multiply
    4,843.42x = 7,266.50 × 2,504.70
  4. Step 4: Simplify right side
    4,843.42x = 18,200,408.81
  5. Step 5: Solve for x
    x = 18,200,408.81/4,843.42
  6. Step 6: Final answer
    x = 3,757.76

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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.