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Finding the Fourth Proportional to 4,800.44, 7,197.12 and 1,511.66

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Solution

The fourth proportional to 4,800.44, 7,197.12 and 1,511.66 is: 2,266.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,800.44 : 7,197.12 = 1,511.66 : x
  2. Step 2: Convert to fraction form
    4,800.44/7,197.12 = 1,511.66/x
  3. Step 3: Cross multiply
    4,800.44x = 7,197.12 × 1,511.66
  4. Step 4: Simplify right side
    4,800.44x = 10,879,598.42
  5. Step 5: Solve for x
    x = 10,879,598.42/4,800.44
  6. Step 6: Final answer
    x = 2,266.38

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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.