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Finding the Fourth Proportional to 4,469.63, 6,703.09 and 1,349.37

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Solution

The fourth proportional to 4,469.63, 6,703.09 and 1,349.37 is: 2,023.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,469.63 : 6,703.09 = 1,349.37 : x
  2. Step 2: Convert to fraction form
    4,469.63/6,703.09 = 1,349.37/x
  3. Step 3: Cross multiply
    4,469.63x = 6,703.09 × 1,349.37
  4. Step 4: Simplify right side
    4,469.63x = 9,044,945.18
  5. Step 5: Solve for x
    x = 9,044,945.18/4,469.63
  6. Step 6: Final answer
    x = 2,023.65

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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.