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Finding the Fourth Proportional to 5,198.07, 7,173.06 and 2,840.06

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Solution

The fourth proportional to 5,198.07, 7,173.06 and 2,840.06 is: 3,919.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198.07 : 7,173.06 = 2,840.06 : x
  2. Step 2: Convert to fraction form
    5,198.07/7,173.06 = 2,840.06/x
  3. Step 3: Cross multiply
    5,198.07x = 7,173.06 × 2,840.06
  4. Step 4: Simplify right side
    5,198.07x = 20,371,928.07
  5. Step 5: Solve for x
    x = 20,371,928.07/5,198.07
  6. Step 6: Final answer
    x = 3,919.13

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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.