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Finding the Fourth Proportional to 4,102.54, 5,662.05 and 2,333.81

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Solution

The fourth proportional to 4,102.54, 5,662.05 and 2,333.81 is: 3,220.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102.54 : 5,662.05 = 2,333.81 : x
  2. Step 2: Convert to fraction form
    4,102.54/5,662.05 = 2,333.81/x
  3. Step 3: Cross multiply
    4,102.54x = 5,662.05 × 2,333.81
  4. Step 4: Simplify right side
    4,102.54x = 13,214,148.91
  5. Step 5: Solve for x
    x = 13,214,148.91/4,102.54
  6. Step 6: Final answer
    x = 3,220.97

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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.