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Finding the Fourth Proportional to 3,469.56, 4,786.26 and 2,052.56

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Solution

The fourth proportional to 3,469.56, 4,786.26 and 2,052.56 is: 2,831.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,469.56 : 4,786.26 = 2,052.56 : x
  2. Step 2: Convert to fraction form
    3,469.56/4,786.26 = 2,052.56/x
  3. Step 3: Cross multiply
    3,469.56x = 4,786.26 × 2,052.56
  4. Step 4: Simplify right side
    3,469.56x = 9,824,061.89
  5. Step 5: Solve for x
    x = 9,824,061.89/3,469.56
  6. Step 6: Final answer
    x = 2,831.50

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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.