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Finding the Fourth Proportional to 4,122.56, 5,687.20 and 3,003

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Solution

The fourth proportional to 4,122.56, 5,687.20 and 3,003 is: 4,142.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,122.56 : 5,687.20 = 3,003 : x
  2. Step 2: Convert to fraction form
    4,122.56/5,687.20 = 3,003/x
  3. Step 3: Cross multiply
    4,122.56x = 5,687.20 × 3,003
  4. Step 4: Simplify right side
    4,122.56x = 17,078,661.60
  5. Step 5: Solve for x
    x = 17,078,661.60/4,122.56
  6. Step 6: Final answer
    x = 4,142.73

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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.