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Finding the Fourth Proportional to 5,219.69, 7,829.96 and 2,099.29

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Solution

The fourth proportional to 5,219.69, 7,829.96 and 2,099.29 is: 3,149.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,219.69 : 7,829.96 = 2,099.29 : x
  2. Step 2: Convert to fraction form
    5,219.69/7,829.96 = 2,099.29/x
  3. Step 3: Cross multiply
    5,219.69x = 7,829.96 × 2,099.29
  4. Step 4: Simplify right side
    5,219.69x = 16,437,326.66
  5. Step 5: Solve for x
    x = 16,437,326.66/5,219.69
  6. Step 6: Final answer
    x = 3,149.10

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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.