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Finding the Fourth Proportional to 4,806, 7,197.39 and 2,334.72

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Solution

The fourth proportional to 4,806, 7,197.39 and 2,334.72 is: 3,496.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,806 : 7,197.39 = 2,334.72 : x
  2. Step 2: Convert to fraction form
    4,806/7,197.39 = 2,334.72/x
  3. Step 3: Cross multiply
    4,806x = 7,197.39 × 2,334.72
  4. Step 4: Simplify right side
    4,806x = 16,803,890.38
  5. Step 5: Solve for x
    x = 16,803,890.38/4,806
  6. Step 6: Final answer
    x = 3,496.44

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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.