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Finding the Fourth Proportional to 7,757.48, 10,705.56 and 4,220.48

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Solution

The fourth proportional to 7,757.48, 10,705.56 and 4,220.48 is: 5,824.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,757.48 : 10,705.56 = 4,220.48 : x
  2. Step 2: Convert to fraction form
    7,757.48/10,705.56 = 4,220.48/x
  3. Step 3: Cross multiply
    7,757.48x = 10,705.56 × 4,220.48
  4. Step 4: Simplify right side
    7,757.48x = 45,182,601.87
  5. Step 5: Solve for x
    x = 45,182,601.87/7,757.48
  6. Step 6: Final answer
    x = 5,824.39

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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.