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Finding the Fourth Proportional to 3,296.82, 4,543.62 and 3,202.04

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Solution

The fourth proportional to 3,296.82, 4,543.62 and 3,202.04 is: 4,413.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,296.82 : 4,543.62 = 3,202.04 : x
  2. Step 2: Convert to fraction form
    3,296.82/4,543.62 = 3,202.04/x
  3. Step 3: Cross multiply
    3,296.82x = 4,543.62 × 3,202.04
  4. Step 4: Simplify right side
    3,296.82x = 14,548,852.98
  5. Step 5: Solve for x
    x = 14,548,852.98/3,296.82
  6. Step 6: Final answer
    x = 4,413.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.