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Finding the Fourth Proportional to 4,107.72, 6,163.65 and 1,643.25

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Solution

The fourth proportional to 4,107.72, 6,163.65 and 1,643.25 is: 2,465.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,107.72 : 6,163.65 = 1,643.25 : x
  2. Step 2: Convert to fraction form
    4,107.72/6,163.65 = 1,643.25/x
  3. Step 3: Cross multiply
    4,107.72x = 6,163.65 × 1,643.25
  4. Step 4: Simplify right side
    4,107.72x = 10,128,417.86
  5. Step 5: Solve for x
    x = 10,128,417.86/4,107.72
  6. Step 6: Final answer
    x = 2,465.70

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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.