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Finding the Fourth Proportional to 5,270.46, 7,906.29 and 1,760.93

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Solution

The fourth proportional to 5,270.46, 7,906.29 and 1,760.93 is: 2,641.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,270.46 : 7,906.29 = 1,760.93 : x
  2. Step 2: Convert to fraction form
    5,270.46/7,906.29 = 1,760.93/x
  3. Step 3: Cross multiply
    5,270.46x = 7,906.29 × 1,760.93
  4. Step 4: Simplify right side
    5,270.46x = 13,922,383.72
  5. Step 5: Solve for x
    x = 13,922,383.72/5,270.46
  6. Step 6: Final answer
    x = 2,641.59

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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.