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Finding the Fourth Proportional to 4,102.43, 5,661.09 and 2,334

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Solution

The fourth proportional to 4,102.43, 5,661.09 and 2,334 is: 3,220.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102.43 : 5,661.09 = 2,334 : x
  2. Step 2: Convert to fraction form
    4,102.43/5,661.09 = 2,334/x
  3. Step 3: Cross multiply
    4,102.43x = 5,661.09 × 2,334
  4. Step 4: Simplify right side
    4,102.43x = 13,212,984.06
  5. Step 5: Solve for x
    x = 13,212,984.06/4,102.43
  6. Step 6: Final answer
    x = 3,220.77

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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.