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Finding the Fourth Proportional to 3,142.33, 4,334.59 and 2,608.16

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Solution

The fourth proportional to 3,142.33, 4,334.59 and 2,608.16 is: 3,597.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.33 : 4,334.59 = 2,608.16 : x
  2. Step 2: Convert to fraction form
    3,142.33/4,334.59 = 2,608.16/x
  3. Step 3: Cross multiply
    3,142.33x = 4,334.59 × 2,608.16
  4. Step 4: Simplify right side
    3,142.33x = 11,305,304.25
  5. Step 5: Solve for x
    x = 11,305,304.25/3,142.33
  6. Step 6: Final answer
    x = 3,597.75

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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.