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Finding the Fourth Proportional to 4,270.64, 5,893.70 and 3,220.88

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Solution

The fourth proportional to 4,270.64, 5,893.70 and 3,220.88 is: 4,444.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,270.64 : 5,893.70 = 3,220.88 : x
  2. Step 2: Convert to fraction form
    4,270.64/5,893.70 = 3,220.88/x
  3. Step 3: Cross multiply
    4,270.64x = 5,893.70 × 3,220.88
  4. Step 4: Simplify right side
    4,270.64x = 18,982,854.88
  5. Step 5: Solve for x
    x = 18,982,854.88/4,270.64
  6. Step 6: Final answer
    x = 4,444.97

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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.