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Finding the Fourth Proportional to 3,850.94, 5,748.56 and 3,383.86

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Solution

The fourth proportional to 3,850.94, 5,748.56 and 3,383.86 is: 5,051.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,850.94 : 5,748.56 = 3,383.86 : x
  2. Step 2: Convert to fraction form
    3,850.94/5,748.56 = 3,383.86/x
  3. Step 3: Cross multiply
    3,850.94x = 5,748.56 × 3,383.86
  4. Step 4: Simplify right side
    3,850.94x = 19,452,322.24
  5. Step 5: Solve for x
    x = 19,452,322.24/3,850.94
  6. Step 6: Final answer
    x = 5,051.32

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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.