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Finding the Fourth Proportional to 4,198.56, 5,820.32 and 4,034.40

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Solution

The fourth proportional to 4,198.56, 5,820.32 and 4,034.40 is: 5,592.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,198.56 : 5,820.32 = 4,034.40 : x
  2. Step 2: Convert to fraction form
    4,198.56/5,820.32 = 4,034.40/x
  3. Step 3: Cross multiply
    4,198.56x = 5,820.32 × 4,034.40
  4. Step 4: Simplify right side
    4,198.56x = 23,481,499.01
  5. Step 5: Solve for x
    x = 23,481,499.01/4,198.56
  6. Step 6: Final answer
    x = 5,592.75

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.