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Finding the Fourth Proportional to 3,221.50, 4,445.64 and 1,824.25

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Solution

The fourth proportional to 3,221.50, 4,445.64 and 1,824.25 is: 2,517.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,221.50 : 4,445.64 = 1,824.25 : x
  2. Step 2: Convert to fraction form
    3,221.50/4,445.64 = 1,824.25/x
  3. Step 3: Cross multiply
    3,221.50x = 4,445.64 × 1,824.25
  4. Step 4: Simplify right side
    3,221.50x = 8,109,958.77
  5. Step 5: Solve for x
    x = 8,109,958.77/3,221.50
  6. Step 6: Final answer
    x = 2,517.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.