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Finding the Fourth Proportional to 4,198.73, 5,793.81 and 2,430.00

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Solution

The fourth proportional to 4,198.73, 5,793.81 and 2,430.00 is: 3,353.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,198.73 : 5,793.81 = 2,430.00 : x
  2. Step 2: Convert to fraction form
    4,198.73/5,793.81 = 2,430.00/x
  3. Step 3: Cross multiply
    4,198.73x = 5,793.81 × 2,430.00
  4. Step 4: Simplify right side
    4,198.73x = 14,078,929.33
  5. Step 5: Solve for x
    x = 14,078,929.33/4,198.73
  6. Step 6: Final answer
    x = 3,353.14

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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.