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Finding the Fourth Proportional to 4,765, 7,147.96 and 1,644.58

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Solution

The fourth proportional to 4,765, 7,147.96 and 1,644.58 is: 2,467.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,765 : 7,147.96 = 1,644.58 : x
  2. Step 2: Convert to fraction form
    4,765/7,147.96 = 1,644.58/x
  3. Step 3: Cross multiply
    4,765x = 7,147.96 × 1,644.58
  4. Step 4: Simplify right side
    4,765x = 11,755,392.06
  5. Step 5: Solve for x
    x = 11,755,392.06/4,765
  6. Step 6: Final answer
    x = 2,467.03

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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.