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Finding the Fourth Proportional to 4,733.37, 7,099.79 and 1,446.39

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Solution

The fourth proportional to 4,733.37, 7,099.79 and 1,446.39 is: 2,169.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,733.37 : 7,099.79 = 1,446.39 : x
  2. Step 2: Convert to fraction form
    4,733.37/7,099.79 = 1,446.39/x
  3. Step 3: Cross multiply
    4,733.37x = 7,099.79 × 1,446.39
  4. Step 4: Simplify right side
    4,733.37x = 10,269,058.03
  5. Step 5: Solve for x
    x = 10,269,058.03/4,733.37
  6. Step 6: Final answer
    x = 2,169.50

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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.