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Finding the Fourth Proportional to 3,884.02, 5,825.98 and 1,418.82

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Solution

The fourth proportional to 3,884.02, 5,825.98 and 1,418.82 is: 2,128.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,884.02 : 5,825.98 = 1,418.82 : x
  2. Step 2: Convert to fraction form
    3,884.02/5,825.98 = 1,418.82/x
  3. Step 3: Cross multiply
    3,884.02x = 5,825.98 × 1,418.82
  4. Step 4: Simplify right side
    3,884.02x = 8,266,016.94
  5. Step 5: Solve for x
    x = 8,266,016.94/3,884.02
  6. Step 6: Final answer
    x = 2,128.21

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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.