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Finding the Fourth Proportional to 3,968.76, 5,945.88 and 3,531.36

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Solution

The fourth proportional to 3,968.76, 5,945.88 and 3,531.36 is: 5,290.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,968.76 : 5,945.88 = 3,531.36 : x
  2. Step 2: Convert to fraction form
    3,968.76/5,945.88 = 3,531.36/x
  3. Step 3: Cross multiply
    3,968.76x = 5,945.88 × 3,531.36
  4. Step 4: Simplify right side
    3,968.76x = 20,997,042.80
  5. Step 5: Solve for x
    x = 20,997,042.80/3,968.76
  6. Step 6: Final answer
    x = 5,290.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.