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Finding the Fourth Proportional to 4,102.80, 5,662.12 and 2,334.56

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Solution

The fourth proportional to 4,102.80, 5,662.12 and 2,334.56 is: 3,221.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102.80 : 5,662.12 = 2,334.56 : x
  2. Step 2: Convert to fraction form
    4,102.80/5,662.12 = 2,334.56/x
  3. Step 3: Cross multiply
    4,102.80x = 5,662.12 × 2,334.56
  4. Step 4: Simplify right side
    4,102.80x = 13,218,558.87
  5. Step 5: Solve for x
    x = 13,218,558.87/4,102.80
  6. Step 6: Final answer
    x = 3,221.84

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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.