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Finding the Fourth Proportional to 3,884.54, 5,821.94 and 1,937.30

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Solution

The fourth proportional to 3,884.54, 5,821.94 and 1,937.30 is: 2,903.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,884.54 : 5,821.94 = 1,937.30 : x
  2. Step 2: Convert to fraction form
    3,884.54/5,821.94 = 1,937.30/x
  3. Step 3: Cross multiply
    3,884.54x = 5,821.94 × 1,937.30
  4. Step 4: Simplify right side
    3,884.54x = 11,278,844.36
  5. Step 5: Solve for x
    x = 11,278,844.36/3,884.54
  6. Step 6: Final answer
    x = 2,903.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.