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Finding the Fourth Proportional to 5,478.56, 8,212.44 and 2,359.28

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Solution

The fourth proportional to 5,478.56, 8,212.44 and 2,359.28 is: 3,536.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,478.56 : 8,212.44 = 2,359.28 : x
  2. Step 2: Convert to fraction form
    5,478.56/8,212.44 = 2,359.28/x
  3. Step 3: Cross multiply
    5,478.56x = 8,212.44 × 2,359.28
  4. Step 4: Simplify right side
    5,478.56x = 19,375,445.44
  5. Step 5: Solve for x
    x = 19,375,445.44/5,478.56
  6. Step 6: Final answer
    x = 3,536.59

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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.