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Finding the Fourth Proportional to 3,408.96, 5,114.16 and 1,100.16

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Solution

The fourth proportional to 3,408.96, 5,114.16 and 1,100.16 is: 1,650.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408.96 : 5,114.16 = 1,100.16 : x
  2. Step 2: Convert to fraction form
    3,408.96/5,114.16 = 1,100.16/x
  3. Step 3: Cross multiply
    3,408.96x = 5,114.16 × 1,100.16
  4. Step 4: Simplify right side
    3,408.96x = 5,626,394.27
  5. Step 5: Solve for x
    x = 5,626,394.27/3,408.96
  6. Step 6: Final answer
    x = 1,650.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.