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Finding the Fourth Proportional to 4,200.75, 5,760.17 and 4,091.40

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Solution

The fourth proportional to 4,200.75, 5,760.17 and 4,091.40 is: 5,610.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,200.75 : 5,760.17 = 4,091.40 : x
  2. Step 2: Convert to fraction form
    4,200.75/5,760.17 = 4,091.40/x
  3. Step 3: Cross multiply
    4,200.75x = 5,760.17 × 4,091.40
  4. Step 4: Simplify right side
    4,200.75x = 23,567,159.54
  5. Step 5: Solve for x
    x = 23,567,159.54/4,200.75
  6. Step 6: Final answer
    x = 5,610.23

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.