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Finding the Fourth Proportional to 3,907.29, 5,852.28 and 2,794.68

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Solution

The fourth proportional to 3,907.29, 5,852.28 and 2,794.68 is: 4,185.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,907.29 : 5,852.28 = 2,794.68 : x
  2. Step 2: Convert to fraction form
    3,907.29/5,852.28 = 2,794.68/x
  3. Step 3: Cross multiply
    3,907.29x = 5,852.28 × 2,794.68
  4. Step 4: Simplify right side
    3,907.29x = 16,355,249.87
  5. Step 5: Solve for x
    x = 16,355,249.87/3,907.29
  6. Step 6: Final answer
    x = 4,185.83

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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.