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Finding the Fourth Proportional to 4,107.67, 6,164.48 and 1,643.18

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Solution

The fourth proportional to 4,107.67, 6,164.48 and 1,643.18 is: 2,465.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,107.67 : 6,164.48 = 1,643.18 : x
  2. Step 2: Convert to fraction form
    4,107.67/6,164.48 = 1,643.18/x
  3. Step 3: Cross multiply
    4,107.67x = 6,164.48 × 1,643.18
  4. Step 4: Simplify right side
    4,107.67x = 10,129,323.53
  5. Step 5: Solve for x
    x = 10,129,323.53/4,107.67
  6. Step 6: Final answer
    x = 2,465.96

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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.