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Finding the Fourth Proportional to 3,448.88, 5,174.05 and 1,109.06

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Solution

The fourth proportional to 3,448.88, 5,174.05 and 1,109.06 is: 1,663.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,448.88 : 5,174.05 = 1,109.06 : x
  2. Step 2: Convert to fraction form
    3,448.88/5,174.05 = 1,109.06/x
  3. Step 3: Cross multiply
    3,448.88x = 5,174.05 × 1,109.06
  4. Step 4: Simplify right side
    3,448.88x = 5,738,333.28
  5. Step 5: Solve for x
    x = 5,738,333.28/3,448.88
  6. Step 6: Final answer
    x = 1,663.83

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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.