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Finding the Fourth Proportional to 4,198.68, 5,794.30 and 2,430.84

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Solution

The fourth proportional to 4,198.68, 5,794.30 and 2,430.84 is: 3,354.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,198.68 : 5,794.30 = 2,430.84 : x
  2. Step 2: Convert to fraction form
    4,198.68/5,794.30 = 2,430.84/x
  3. Step 3: Cross multiply
    4,198.68x = 5,794.30 × 2,430.84
  4. Step 4: Simplify right side
    4,198.68x = 14,085,016.21
  5. Step 5: Solve for x
    x = 14,085,016.21/4,198.68
  6. Step 6: Final answer
    x = 3,354.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.