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Finding the Fourth Proportional to 5,200.68, 7,801.05 and 2,080.95

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Solution

The fourth proportional to 5,200.68, 7,801.05 and 2,080.95 is: 3,121.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.68 : 7,801.05 = 2,080.95 : x
  2. Step 2: Convert to fraction form
    5,200.68/7,801.05 = 2,080.95/x
  3. Step 3: Cross multiply
    5,200.68x = 7,801.05 × 2,080.95
  4. Step 4: Simplify right side
    5,200.68x = 16,233,595.00
  5. Step 5: Solve for x
    x = 16,233,595.00/5,200.68
  6. Step 6: Final answer
    x = 3,121.44

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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.