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Finding the Fourth Proportional to 5,828.80, 8,744.16 and 2,906.56

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Solution

The fourth proportional to 5,828.80, 8,744.16 and 2,906.56 is: 4,360.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,828.80 : 8,744.16 = 2,906.56 : x
  2. Step 2: Convert to fraction form
    5,828.80/8,744.16 = 2,906.56/x
  3. Step 3: Cross multiply
    5,828.80x = 8,744.16 × 2,906.56
  4. Step 4: Simplify right side
    5,828.80x = 25,415,425.69
  5. Step 5: Solve for x
    x = 25,415,425.69/5,828.80
  6. Step 6: Final answer
    x = 4,360.32

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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.