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Finding the Fourth Proportional to 5,635.64, 7,772.25 and 3,644.26

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Solution

The fourth proportional to 5,635.64, 7,772.25 and 3,644.26 is: 5,025.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,635.64 : 7,772.25 = 3,644.26 : x
  2. Step 2: Convert to fraction form
    5,635.64/7,772.25 = 3,644.26/x
  3. Step 3: Cross multiply
    5,635.64x = 7,772.25 × 3,644.26
  4. Step 4: Simplify right side
    5,635.64x = 28,324,094.02
  5. Step 5: Solve for x
    x = 28,324,094.02/5,635.64
  6. Step 6: Final answer
    x = 5,025.89

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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.