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Finding the Fourth Proportional to 5,634.36, 7,767.99 and 4,622.36

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Solution

The fourth proportional to 5,634.36, 7,767.99 and 4,622.36 is: 6,372.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,634.36 : 7,767.99 = 4,622.36 : x
  2. Step 2: Convert to fraction form
    5,634.36/7,767.99 = 4,622.36/x
  3. Step 3: Cross multiply
    5,634.36x = 7,767.99 × 4,622.36
  4. Step 4: Simplify right side
    5,634.36x = 35,906,407.42
  5. Step 5: Solve for x
    x = 35,906,407.42/5,634.36
  6. Step 6: Final answer
    x = 6,372.76

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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.