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Finding the Fourth Proportional to 5,222.56, 7,825.02 and 2,586.54

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Solution

The fourth proportional to 5,222.56, 7,825.02 and 2,586.54 is: 3,875.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,222.56 : 7,825.02 = 2,586.54 : x
  2. Step 2: Convert to fraction form
    5,222.56/7,825.02 = 2,586.54/x
  3. Step 3: Cross multiply
    5,222.56x = 7,825.02 × 2,586.54
  4. Step 4: Simplify right side
    5,222.56x = 20,239,727.23
  5. Step 5: Solve for x
    x = 20,239,727.23/5,222.56
  6. Step 6: Final answer
    x = 3,875.44

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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.