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Finding the Fourth Proportional to 3,907.21, 5,863.10 and 1,443.75

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Solution

The fourth proportional to 3,907.21, 5,863.10 and 1,443.75 is: 2,166.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,907.21 : 5,863.10 = 1,443.75 : x
  2. Step 2: Convert to fraction form
    3,907.21/5,863.10 = 1,443.75/x
  3. Step 3: Cross multiply
    3,907.21x = 5,863.10 × 1,443.75
  4. Step 4: Simplify right side
    3,907.21x = 8,464,850.63
  5. Step 5: Solve for x
    x = 8,464,850.63/3,907.21
  6. Step 6: Final answer
    x = 2,166.47

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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.