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Finding the Fourth Proportional to 4,969.41, 7,456.74 and 2,198.00

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Solution

The fourth proportional to 4,969.41, 7,456.74 and 2,198.00 is: 3,298.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,969.41 : 7,456.74 = 2,198.00 : x
  2. Step 2: Convert to fraction form
    4,969.41/7,456.74 = 2,198.00/x
  3. Step 3: Cross multiply
    4,969.41x = 7,456.74 × 2,198.00
  4. Step 4: Simplify right side
    4,969.41x = 16,389,877.24
  5. Step 5: Solve for x
    x = 16,389,877.24/4,969.41
  6. Step 6: Final answer
    x = 3,298.15

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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.