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Finding the Fourth Proportional to 3,906.44, 5,390.72 and 2,333.60

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Solution

The fourth proportional to 3,906.44, 5,390.72 and 2,333.60 is: 3,220.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.44 : 5,390.72 = 2,333.60 : x
  2. Step 2: Convert to fraction form
    3,906.44/5,390.72 = 2,333.60/x
  3. Step 3: Cross multiply
    3,906.44x = 5,390.72 × 2,333.60
  4. Step 4: Simplify right side
    3,906.44x = 12,579,784.19
  5. Step 5: Solve for x
    x = 12,579,784.19/3,906.44
  6. Step 6: Final answer
    x = 3,220.27

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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.