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Finding the Fourth Proportional to 5,643.08, 7,788.40 and 3,286.62

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Solution

The fourth proportional to 5,643.08, 7,788.40 and 3,286.62 is: 4,536.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643.08 : 7,788.40 = 3,286.62 : x
  2. Step 2: Convert to fraction form
    5,643.08/7,788.40 = 3,286.62/x
  3. Step 3: Cross multiply
    5,643.08x = 7,788.40 × 3,286.62
  4. Step 4: Simplify right side
    5,643.08x = 25,597,511.21
  5. Step 5: Solve for x
    x = 25,597,511.21/5,643.08
  6. Step 6: Final answer
    x = 4,536.09

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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.