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Finding the Fourth Proportional to 3,907.26, 5,859.42 and 1,274.08

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Solution

The fourth proportional to 3,907.26, 5,859.42 and 1,274.08 is: 1,910.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,907.26 : 5,859.42 = 1,274.08 : x
  2. Step 2: Convert to fraction form
    3,907.26/5,859.42 = 1,274.08/x
  3. Step 3: Cross multiply
    3,907.26x = 5,859.42 × 1,274.08
  4. Step 4: Simplify right side
    3,907.26x = 7,465,369.83
  5. Step 5: Solve for x
    x = 7,465,369.83/3,907.26
  6. Step 6: Final answer
    x = 1,910.64

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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.