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Finding the Fourth Proportional to 4,906.64, 7,353.72 and 2,306

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Solution

The fourth proportional to 4,906.64, 7,353.72 and 2,306 is: 3,456.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,906.64 : 7,353.72 = 2,306 : x
  2. Step 2: Convert to fraction form
    4,906.64/7,353.72 = 2,306/x
  3. Step 3: Cross multiply
    4,906.64x = 7,353.72 × 2,306
  4. Step 4: Simplify right side
    4,906.64x = 16,957,678.32
  5. Step 5: Solve for x
    x = 16,957,678.32/4,906.64
  6. Step 6: Final answer
    x = 3,456.07

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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.