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Finding the Fourth Proportional to 3,646.81, 5,469.07 and 1,181.06

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Solution

The fourth proportional to 3,646.81, 5,469.07 and 1,181.06 is: 1,771.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646.81 : 5,469.07 = 1,181.06 : x
  2. Step 2: Convert to fraction form
    3,646.81/5,469.07 = 1,181.06/x
  3. Step 3: Cross multiply
    3,646.81x = 5,469.07 × 1,181.06
  4. Step 4: Simplify right side
    3,646.81x = 6,459,299.81
  5. Step 5: Solve for x
    x = 6,459,299.81/3,646.81
  6. Step 6: Final answer
    x = 1,771.22

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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.