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Finding the Fourth Proportional to 3,467.46, 5,193.06 and 3,009

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Solution

The fourth proportional to 3,467.46, 5,193.06 and 3,009 is: 4,506.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,467.46 : 5,193.06 = 3,009 : x
  2. Step 2: Convert to fraction form
    3,467.46/5,193.06 = 3,009/x
  3. Step 3: Cross multiply
    3,467.46x = 5,193.06 × 3,009
  4. Step 4: Simplify right side
    3,467.46x = 15,625,917.54
  5. Step 5: Solve for x
    x = 15,625,917.54/3,467.46
  6. Step 6: Final answer
    x = 4,506.44

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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.