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Finding the Fourth Proportional to 4,221.70, 6,346.22 and 3,917.35

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Solution

The fourth proportional to 4,221.70, 6,346.22 and 3,917.35 is: 5,888.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,221.70 : 6,346.22 = 3,917.35 : x
  2. Step 2: Convert to fraction form
    4,221.70/6,346.22 = 3,917.35/x
  3. Step 3: Cross multiply
    4,221.70x = 6,346.22 × 3,917.35
  4. Step 4: Simplify right side
    4,221.70x = 24,860,350.62
  5. Step 5: Solve for x
    x = 24,860,350.62/4,221.70
  6. Step 6: Final answer
    x = 5,888.70

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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.