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Finding the Fourth Proportional to 4,003, 6,005.46 and 1,267

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Solution

The fourth proportional to 4,003, 6,005.46 and 1,267 is: 1,900.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,003 : 6,005.46 = 1,267 : x
  2. Step 2: Convert to fraction form
    4,003/6,005.46 = 1,267/x
  3. Step 3: Cross multiply
    4,003x = 6,005.46 × 1,267
  4. Step 4: Simplify right side
    4,003x = 7,608,917.82
  5. Step 5: Solve for x
    x = 7,608,917.82/4,003
  6. Step 6: Final answer
    x = 1,900.80

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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.