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Finding the Fourth Proportional to 3,962.43, 5,935.70 and 1,884.44

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Solution

The fourth proportional to 3,962.43, 5,935.70 and 1,884.44 is: 2,822.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,962.43 : 5,935.70 = 1,884.44 : x
  2. Step 2: Convert to fraction form
    3,962.43/5,935.70 = 1,884.44/x
  3. Step 3: Cross multiply
    3,962.43x = 5,935.70 × 1,884.44
  4. Step 4: Simplify right side
    3,962.43x = 11,185,490.06
  5. Step 5: Solve for x
    x = 11,185,490.06/3,962.43
  6. Step 6: Final answer
    x = 2,822.89

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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.