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Finding the Fourth Proportional to 4,161.76, 5,748.08 and 3,763.33

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Solution

The fourth proportional to 4,161.76, 5,748.08 and 3,763.33 is: 5,197.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,161.76 : 5,748.08 = 3,763.33 : x
  2. Step 2: Convert to fraction form
    4,161.76/5,748.08 = 3,763.33/x
  3. Step 3: Cross multiply
    4,161.76x = 5,748.08 × 3,763.33
  4. Step 4: Simplify right side
    4,161.76x = 21,631,888.72
  5. Step 5: Solve for x
    x = 21,631,888.72/4,161.76
  6. Step 6: Final answer
    x = 5,197.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.