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Finding the Fourth Proportional to 3,893.20, 5,840.80 and 2,043.80

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Solution

The fourth proportional to 3,893.20, 5,840.80 and 2,043.80 is: 3,066.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,893.20 : 5,840.80 = 2,043.80 : x
  2. Step 2: Convert to fraction form
    3,893.20/5,840.80 = 2,043.80/x
  3. Step 3: Cross multiply
    3,893.20x = 5,840.80 × 2,043.80
  4. Step 4: Simplify right side
    3,893.20x = 11,937,427.04
  5. Step 5: Solve for x
    x = 11,937,427.04/3,893.20
  6. Step 6: Final answer
    x = 3,066.22

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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.