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Finding the Fourth Proportional to 3,897.09, 5,843.64 and 1,704.81

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Solution

The fourth proportional to 3,897.09, 5,843.64 and 1,704.81 is: 2,556.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.09 : 5,843.64 = 1,704.81 : x
  2. Step 2: Convert to fraction form
    3,897.09/5,843.64 = 1,704.81/x
  3. Step 3: Cross multiply
    3,897.09x = 5,843.64 × 1,704.81
  4. Step 4: Simplify right side
    3,897.09x = 9,962,295.91
  5. Step 5: Solve for x
    x = 9,962,295.91/3,897.09
  6. Step 6: Final answer
    x = 2,556.34

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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.