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Finding the Fourth Proportional to 3,646.87, 5,468.92 and 1,181.03

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Solution

The fourth proportional to 3,646.87, 5,468.92 and 1,181.03 is: 1,771.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646.87 : 5,468.92 = 1,181.03 : x
  2. Step 2: Convert to fraction form
    3,646.87/5,468.92 = 1,181.03/x
  3. Step 3: Cross multiply
    3,646.87x = 5,468.92 × 1,181.03
  4. Step 4: Simplify right side
    3,646.87x = 6,458,928.29
  5. Step 5: Solve for x
    x = 6,458,928.29/3,646.87
  6. Step 6: Final answer
    x = 1,771.09

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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.