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Finding the Fourth Proportional to 5,105.01, 7,046.70 and 3,009

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Solution

The fourth proportional to 5,105.01, 7,046.70 and 3,009 is: 4,153.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,105.01 : 7,046.70 = 3,009 : x
  2. Step 2: Convert to fraction form
    5,105.01/7,046.70 = 3,009/x
  3. Step 3: Cross multiply
    5,105.01x = 7,046.70 × 3,009
  4. Step 4: Simplify right side
    5,105.01x = 21,203,520.30
  5. Step 5: Solve for x
    x = 21,203,520.30/5,105.01
  6. Step 6: Final answer
    x = 4,153.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.