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Finding the Fourth Proportional to 5,197.93, 7,795.32 and 2,731.40

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Solution

The fourth proportional to 5,197.93, 7,795.32 and 2,731.40 is: 4,096.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,197.93 : 7,795.32 = 2,731.40 : x
  2. Step 2: Convert to fraction form
    5,197.93/7,795.32 = 2,731.40/x
  3. Step 3: Cross multiply
    5,197.93x = 7,795.32 × 2,731.40
  4. Step 4: Simplify right side
    5,197.93x = 21,292,137.05
  5. Step 5: Solve for x
    x = 21,292,137.05/5,197.93
  6. Step 6: Final answer
    x = 4,096.27

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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.