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Finding the Fourth Proportional to 3,408.58, 5,110.80 and 2,223.50

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Solution

The fourth proportional to 3,408.58, 5,110.80 and 2,223.50 is: 3,333.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408.58 : 5,110.80 = 2,223.50 : x
  2. Step 2: Convert to fraction form
    3,408.58/5,110.80 = 2,223.50/x
  3. Step 3: Cross multiply
    3,408.58x = 5,110.80 × 2,223.50
  4. Step 4: Simplify right side
    3,408.58x = 11,363,858.66
  5. Step 5: Solve for x
    x = 11,363,858.66/3,408.58
  6. Step 6: Final answer
    x = 3,333.90

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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.