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Finding the Fourth Proportional to 5,293.45, 7,940.51 and 1,397.75

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Solution

The fourth proportional to 5,293.45, 7,940.51 and 1,397.75 is: 2,096.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,293.45 : 7,940.51 = 1,397.75 : x
  2. Step 2: Convert to fraction form
    5,293.45/7,940.51 = 1,397.75/x
  3. Step 3: Cross multiply
    5,293.45x = 7,940.51 × 1,397.75
  4. Step 4: Simplify right side
    5,293.45x = 11,098,840.86
  5. Step 5: Solve for x
    x = 11,098,840.86/5,293.45
  6. Step 6: Final answer
    x = 2,096.71

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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.