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Finding the Fourth Proportional to 5,446.77, 8,171.52 and 1,749.37

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Solution

The fourth proportional to 5,446.77, 8,171.52 and 1,749.37 is: 2,624.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,446.77 : 8,171.52 = 1,749.37 : x
  2. Step 2: Convert to fraction form
    5,446.77/8,171.52 = 1,749.37/x
  3. Step 3: Cross multiply
    5,446.77x = 8,171.52 × 1,749.37
  4. Step 4: Simplify right side
    5,446.77x = 14,295,011.94
  5. Step 5: Solve for x
    x = 14,295,011.94/5,446.77
  6. Step 6: Final answer
    x = 2,624.49

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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.