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Finding the Fourth Proportional to 3,648.40, 5,469.96 and 1,181.86

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Solution

The fourth proportional to 3,648.40, 5,469.96 and 1,181.86 is: 1,771.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,648.40 : 5,469.96 = 1,181.86 : x
  2. Step 2: Convert to fraction form
    3,648.40/5,469.96 = 1,181.86/x
  3. Step 3: Cross multiply
    3,648.40x = 5,469.96 × 1,181.86
  4. Step 4: Simplify right side
    3,648.40x = 6,464,726.93
  5. Step 5: Solve for x
    x = 6,464,726.93/3,648.40
  6. Step 6: Final answer
    x = 1,771.93

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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.