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Finding the Fourth Proportional to 5,498.08, 8,246.96 and 2,036

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Solution

The fourth proportional to 5,498.08, 8,246.96 and 2,036 is: 3,053.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,498.08 : 8,246.96 = 2,036 : x
  2. Step 2: Convert to fraction form
    5,498.08/8,246.96 = 2,036/x
  3. Step 3: Cross multiply
    5,498.08x = 8,246.96 × 2,036
  4. Step 4: Simplify right side
    5,498.08x = 16,790,810.56
  5. Step 5: Solve for x
    x = 16,790,810.56/5,498.08
  6. Step 6: Final answer
    x = 3,053.94

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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.