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Finding the Fourth Proportional to 3,933.76, 5,862.80 and 3,769.60

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Solution

The fourth proportional to 3,933.76, 5,862.80 and 3,769.60 is: 5,618.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,933.76 : 5,862.80 = 3,769.60 : x
  2. Step 2: Convert to fraction form
    3,933.76/5,862.80 = 3,769.60/x
  3. Step 3: Cross multiply
    3,933.76x = 5,862.80 × 3,769.60
  4. Step 4: Simplify right side
    3,933.76x = 22,100,410.88
  5. Step 5: Solve for x
    x = 22,100,410.88/3,933.76
  6. Step 6: Final answer
    x = 5,618.14

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.