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Finding the Fourth Proportional to 4,513.97, 6,771.14 and 1,393.70

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Solution

The fourth proportional to 4,513.97, 6,771.14 and 1,393.70 is: 2,090.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,513.97 : 6,771.14 = 1,393.70 : x
  2. Step 2: Convert to fraction form
    4,513.97/6,771.14 = 1,393.70/x
  3. Step 3: Cross multiply
    4,513.97x = 6,771.14 × 1,393.70
  4. Step 4: Simplify right side
    4,513.97x = 9,436,958.23
  5. Step 5: Solve for x
    x = 9,436,958.23/4,513.97
  6. Step 6: Final answer
    x = 2,090.61

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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.