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Finding the Fourth Proportional to 4,451.45, 6,682.64 and 4,221.81

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Solution

The fourth proportional to 4,451.45, 6,682.64 and 4,221.81 is: 6,337.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,451.45 : 6,682.64 = 4,221.81 : x
  2. Step 2: Convert to fraction form
    4,451.45/6,682.64 = 4,221.81/x
  3. Step 3: Cross multiply
    4,451.45x = 6,682.64 × 4,221.81
  4. Step 4: Simplify right side
    4,451.45x = 28,212,815.27
  5. Step 5: Solve for x
    x = 28,212,815.27/4,451.45
  6. Step 6: Final answer
    x = 6,337.90

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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.