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Finding the Fourth Proportional to 4,102.68, 5,661.62 and 2,334.25

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Solution

The fourth proportional to 4,102.68, 5,661.62 and 2,334.25 is: 3,221.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102.68 : 5,661.62 = 2,334.25 : x
  2. Step 2: Convert to fraction form
    4,102.68/5,661.62 = 2,334.25/x
  3. Step 3: Cross multiply
    4,102.68x = 5,661.62 × 2,334.25
  4. Step 4: Simplify right side
    4,102.68x = 13,215,608.18
  5. Step 5: Solve for x
    x = 13,215,608.18/4,102.68
  6. Step 6: Final answer
    x = 3,221.21

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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.