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Finding the Fourth Proportional to 3,646.58, 5,469.32 and 1,181.61

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Solution

The fourth proportional to 3,646.58, 5,469.32 and 1,181.61 is: 1,772.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646.58 : 5,469.32 = 1,181.61 : x
  2. Step 2: Convert to fraction form
    3,646.58/5,469.32 = 1,181.61/x
  3. Step 3: Cross multiply
    3,646.58x = 5,469.32 × 1,181.61
  4. Step 4: Simplify right side
    3,646.58x = 6,462,606.16
  5. Step 5: Solve for x
    x = 6,462,606.16/3,646.58
  6. Step 6: Final answer
    x = 1,772.24

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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.