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Finding the Fourth Proportional to 5,735.88, 7,910.48 and 4,142.12

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Solution

The fourth proportional to 5,735.88, 7,910.48 and 4,142.12 is: 5,712.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,735.88 : 7,910.48 = 4,142.12 : x
  2. Step 2: Convert to fraction form
    5,735.88/7,910.48 = 4,142.12/x
  3. Step 3: Cross multiply
    5,735.88x = 7,910.48 × 4,142.12
  4. Step 4: Simplify right side
    5,735.88x = 32,766,097.15
  5. Step 5: Solve for x
    x = 32,766,097.15/5,735.88
  6. Step 6: Final answer
    x = 5,712.48

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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.