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Finding the Fourth Proportional to 3,984.39, 5,976.59 and 1,643.39

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Solution

The fourth proportional to 3,984.39, 5,976.59 and 1,643.39 is: 2,465.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,984.39 : 5,976.59 = 1,643.39 : x
  2. Step 2: Convert to fraction form
    3,984.39/5,976.59 = 1,643.39/x
  3. Step 3: Cross multiply
    3,984.39x = 5,976.59 × 1,643.39
  4. Step 4: Simplify right side
    3,984.39x = 9,821,852.55
  5. Step 5: Solve for x
    x = 9,821,852.55/3,984.39
  6. Step 6: Final answer
    x = 2,465.08

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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.