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Finding the Fourth Proportional to 4,103.97, 5,664.14 and 2,336.15

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Solution

The fourth proportional to 4,103.97, 5,664.14 and 2,336.15 is: 3,224.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,103.97 : 5,664.14 = 2,336.15 : x
  2. Step 2: Convert to fraction form
    4,103.97/5,664.14 = 2,336.15/x
  3. Step 3: Cross multiply
    4,103.97x = 5,664.14 × 2,336.15
  4. Step 4: Simplify right side
    4,103.97x = 13,232,240.66
  5. Step 5: Solve for x
    x = 13,232,240.66/4,103.97
  6. Step 6: Final answer
    x = 3,224.25

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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.