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Finding the Fourth Proportional to 3,408.36, 5,114.04 and 1,849.50

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Solution

The fourth proportional to 3,408.36, 5,114.04 and 1,849.50 is: 2,775.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408.36 : 5,114.04 = 1,849.50 : x
  2. Step 2: Convert to fraction form
    3,408.36/5,114.04 = 1,849.50/x
  3. Step 3: Cross multiply
    3,408.36x = 5,114.04 × 1,849.50
  4. Step 4: Simplify right side
    3,408.36x = 9,458,416.98
  5. Step 5: Solve for x
    x = 9,458,416.98/3,408.36
  6. Step 6: Final answer
    x = 2,775.06

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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.