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Finding the Fourth Proportional to 7,757.20, 10,704.80 and 4,220.39

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Solution

The fourth proportional to 7,757.20, 10,704.80 and 4,220.39 is: 5,824.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,757.20 : 10,704.80 = 4,220.39 : x
  2. Step 2: Convert to fraction form
    7,757.20/10,704.80 = 4,220.39/x
  3. Step 3: Cross multiply
    7,757.20x = 10,704.80 × 4,220.39
  4. Step 4: Simplify right side
    7,757.20x = 45,178,430.87
  5. Step 5: Solve for x
    x = 45,178,430.87/7,757.20
  6. Step 6: Final answer
    x = 5,824.06

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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.