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Finding the Fourth Proportional to 5,552.64, 7,662.69 and 3,563.24

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Solution

The fourth proportional to 5,552.64, 7,662.69 and 3,563.24 is: 4,917.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,552.64 : 7,662.69 = 3,563.24 : x
  2. Step 2: Convert to fraction form
    5,552.64/7,662.69 = 3,563.24/x
  3. Step 3: Cross multiply
    5,552.64x = 7,662.69 × 3,563.24
  4. Step 4: Simplify right side
    5,552.64x = 27,303,965.20
  5. Step 5: Solve for x
    x = 27,303,965.20/5,552.64
  6. Step 6: Final answer
    x = 4,917.29

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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.