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Finding the Fourth Proportional to 4,221.52, 5,820.46 and 3,225.22

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Solution

The fourth proportional to 4,221.52, 5,820.46 and 3,225.22 is: 4,446.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,221.52 : 5,820.46 = 3,225.22 : x
  2. Step 2: Convert to fraction form
    4,221.52/5,820.46 = 3,225.22/x
  3. Step 3: Cross multiply
    4,221.52x = 5,820.46 × 3,225.22
  4. Step 4: Simplify right side
    4,221.52x = 18,772,241.39
  5. Step 5: Solve for x
    x = 18,772,241.39/4,221.52
  6. Step 6: Final answer
    x = 4,446.80

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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.