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Finding the Fourth Proportional to 5,219.44, 7,825.44 and 2,444.59

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Solution

The fourth proportional to 5,219.44, 7,825.44 and 2,444.59 is: 3,665.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,219.44 : 7,825.44 = 2,444.59 : x
  2. Step 2: Convert to fraction form
    5,219.44/7,825.44 = 2,444.59/x
  3. Step 3: Cross multiply
    5,219.44x = 7,825.44 × 2,444.59
  4. Step 4: Simplify right side
    5,219.44x = 19,129,992.37
  5. Step 5: Solve for x
    x = 19,129,992.37/5,219.44
  6. Step 6: Final answer
    x = 3,665.14

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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.