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Finding the Fourth Proportional to 5,620.98, 7,757.46 and 3,103.64

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Solution

The fourth proportional to 5,620.98, 7,757.46 and 3,103.64 is: 4,283.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,620.98 : 7,757.46 = 3,103.64 : x
  2. Step 2: Convert to fraction form
    5,620.98/7,757.46 = 3,103.64/x
  3. Step 3: Cross multiply
    5,620.98x = 7,757.46 × 3,103.64
  4. Step 4: Simplify right side
    5,620.98x = 24,076,324.37
  5. Step 5: Solve for x
    x = 24,076,324.37/5,620.98
  6. Step 6: Final answer
    x = 4,283.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.