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Finding the Fourth Proportional to 4,198.84, 6,296.16 and 2,444.42

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Solution

The fourth proportional to 4,198.84, 6,296.16 and 2,444.42 is: 3,665.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,198.84 : 6,296.16 = 2,444.42 : x
  2. Step 2: Convert to fraction form
    4,198.84/6,296.16 = 2,444.42/x
  3. Step 3: Cross multiply
    4,198.84x = 6,296.16 × 2,444.42
  4. Step 4: Simplify right side
    4,198.84x = 15,390,459.43
  5. Step 5: Solve for x
    x = 15,390,459.43/4,198.84
  6. Step 6: Final answer
    x = 3,665.41

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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.