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Finding the Fourth Proportional to 5,533.25, 8,297.25 and 2,020.77

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Solution

The fourth proportional to 5,533.25, 8,297.25 and 2,020.77 is: 3,030.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,533.25 : 8,297.25 = 2,020.77 : x
  2. Step 2: Convert to fraction form
    5,533.25/8,297.25 = 2,020.77/x
  3. Step 3: Cross multiply
    5,533.25x = 8,297.25 × 2,020.77
  4. Step 4: Simplify right side
    5,533.25x = 16,766,833.88
  5. Step 5: Solve for x
    x = 16,766,833.88/5,533.25
  6. Step 6: Final answer
    x = 3,030.20

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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.