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Finding the Fourth Proportional to 4,769.88, 7,147.62 and 3,535.32

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Solution

The fourth proportional to 4,769.88, 7,147.62 and 3,535.32 is: 5,297.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,769.88 : 7,147.62 = 3,535.32 : x
  2. Step 2: Convert to fraction form
    4,769.88/7,147.62 = 3,535.32/x
  3. Step 3: Cross multiply
    4,769.88x = 7,147.62 × 3,535.32
  4. Step 4: Simplify right side
    4,769.88x = 25,269,123.94
  5. Step 5: Solve for x
    x = 25,269,123.94/4,769.88
  6. Step 6: Final answer
    x = 5,297.64

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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.