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Finding the Fourth Proportional to 3,221.92, 4,445.64 and 3,057.88

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Solution

The fourth proportional to 3,221.92, 4,445.64 and 3,057.88 is: 4,219.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,221.92 : 4,445.64 = 3,057.88 : x
  2. Step 2: Convert to fraction form
    3,221.92/4,445.64 = 3,057.88/x
  3. Step 3: Cross multiply
    3,221.92x = 4,445.64 × 3,057.88
  4. Step 4: Simplify right side
    3,221.92x = 13,594,233.64
  5. Step 5: Solve for x
    x = 13,594,233.64/3,221.92
  6. Step 6: Final answer
    x = 4,219.30

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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.