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Finding the Fourth Proportional to 5,227.56, 7,837.56 and 2,594.52

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Solution

The fourth proportional to 5,227.56, 7,837.56 and 2,594.52 is: 3,889.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,227.56 : 7,837.56 = 2,594.52 : x
  2. Step 2: Convert to fraction form
    5,227.56/7,837.56 = 2,594.52/x
  3. Step 3: Cross multiply
    5,227.56x = 7,837.56 × 2,594.52
  4. Step 4: Simplify right side
    5,227.56x = 20,334,706.17
  5. Step 5: Solve for x
    x = 20,334,706.17/5,227.56
  6. Step 6: Final answer
    x = 3,889.90

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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.