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Finding the Fourth Proportional to 5,222.99, 7,825.35 and 4,351.08

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Solution

The fourth proportional to 5,222.99, 7,825.35 and 4,351.08 is: 6,519.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,222.99 : 7,825.35 = 4,351.08 : x
  2. Step 2: Convert to fraction form
    5,222.99/7,825.35 = 4,351.08/x
  3. Step 3: Cross multiply
    5,222.99x = 7,825.35 × 4,351.08
  4. Step 4: Simplify right side
    5,222.99x = 34,048,769.54
  5. Step 5: Solve for x
    x = 34,048,769.54/5,222.99
  6. Step 6: Final answer
    x = 6,519.02

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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.