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Finding the Fourth Proportional to 4,103.74, 5,664.36 and 2,336.32

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Solution

The fourth proportional to 4,103.74, 5,664.36 and 2,336.32 is: 3,224.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,103.74 : 5,664.36 = 2,336.32 : x
  2. Step 2: Convert to fraction form
    4,103.74/5,664.36 = 2,336.32/x
  3. Step 3: Cross multiply
    4,103.74x = 5,664.36 × 2,336.32
  4. Step 4: Simplify right side
    4,103.74x = 13,233,757.56
  5. Step 5: Solve for x
    x = 13,233,757.56/4,103.74
  6. Step 6: Final answer
    x = 3,224.80

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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.