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Finding the Fourth Proportional to 5,610.20, 7,744.02 and 3,847.64

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Solution

The fourth proportional to 5,610.20, 7,744.02 and 3,847.64 is: 5,311.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,610.20 : 7,744.02 = 3,847.64 : x
  2. Step 2: Convert to fraction form
    5,610.20/7,744.02 = 3,847.64/x
  3. Step 3: Cross multiply
    5,610.20x = 7,744.02 × 3,847.64
  4. Step 4: Simplify right side
    5,610.20x = 29,796,201.11
  5. Step 5: Solve for x
    x = 29,796,201.11/5,610.20
  6. Step 6: Final answer
    x = 5,311.08

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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.