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Finding the Fourth Proportional to 5,486.90, 8,228.46 and 2,199.14

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Solution

The fourth proportional to 5,486.90, 8,228.46 and 2,199.14 is: 3,297.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,486.90 : 8,228.46 = 2,199.14 : x
  2. Step 2: Convert to fraction form
    5,486.90/8,228.46 = 2,199.14/x
  3. Step 3: Cross multiply
    5,486.90x = 8,228.46 × 2,199.14
  4. Step 4: Simplify right side
    5,486.90x = 18,095,535.52
  5. Step 5: Solve for x
    x = 18,095,535.52/5,486.90
  6. Step 6: Final answer
    x = 3,297.95

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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.