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Finding the Fourth Proportional to 4,736.41, 7,105.32 and 2,270.77

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Solution

The fourth proportional to 4,736.41, 7,105.32 and 2,270.77 is: 3,406.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,736.41 : 7,105.32 = 2,270.77 : x
  2. Step 2: Convert to fraction form
    4,736.41/7,105.32 = 2,270.77/x
  3. Step 3: Cross multiply
    4,736.41x = 7,105.32 × 2,270.77
  4. Step 4: Simplify right side
    4,736.41x = 16,134,529.73
  5. Step 5: Solve for x
    x = 16,134,529.73/4,736.41
  6. Step 6: Final answer
    x = 3,406.49

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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.