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Finding the Fourth Proportional to 3,763.89, 5,645.85 and 2,664.93

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Solution

The fourth proportional to 3,763.89, 5,645.85 and 2,664.93 is: 3,997.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,763.89 : 5,645.85 = 2,664.93 : x
  2. Step 2: Convert to fraction form
    3,763.89/5,645.85 = 2,664.93/x
  3. Step 3: Cross multiply
    3,763.89x = 5,645.85 × 2,664.93
  4. Step 4: Simplify right side
    3,763.89x = 15,045,795.04
  5. Step 5: Solve for x
    x = 15,045,795.04/3,763.89
  6. Step 6: Final answer
    x = 3,997.41

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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.