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Finding the Fourth Proportional to 4,104.60, 5,664.12 and 2,336.22

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Solution

The fourth proportional to 4,104.60, 5,664.12 and 2,336.22 is: 3,223.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,104.60 : 5,664.12 = 2,336.22 : x
  2. Step 2: Convert to fraction form
    4,104.60/5,664.12 = 2,336.22/x
  3. Step 3: Cross multiply
    4,104.60x = 5,664.12 × 2,336.22
  4. Step 4: Simplify right side
    4,104.60x = 13,232,630.43
  5. Step 5: Solve for x
    x = 13,232,630.43/4,104.60
  6. Step 6: Final answer
    x = 3,223.85

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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.