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Finding the Fourth Proportional to 5,482.85, 8,226.30 and 2,198.30

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Solution

The fourth proportional to 5,482.85, 8,226.30 and 2,198.30 is: 3,298.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,482.85 : 8,226.30 = 2,198.30 : x
  2. Step 2: Convert to fraction form
    5,482.85/8,226.30 = 2,198.30/x
  3. Step 3: Cross multiply
    5,482.85x = 8,226.30 × 2,198.30
  4. Step 4: Simplify right side
    5,482.85x = 18,083,875.29
  5. Step 5: Solve for x
    x = 18,083,875.29/5,482.85
  6. Step 6: Final answer
    x = 3,298.26

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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.