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Finding the Fourth Proportional to 5,196.69, 7,794.80 and 1,909.54

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Solution

The fourth proportional to 5,196.69, 7,794.80 and 1,909.54 is: 2,864.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,196.69 : 7,794.80 = 1,909.54 : x
  2. Step 2: Convert to fraction form
    5,196.69/7,794.80 = 1,909.54/x
  3. Step 3: Cross multiply
    5,196.69x = 7,794.80 × 1,909.54
  4. Step 4: Simplify right side
    5,196.69x = 14,884,467.97
  5. Step 5: Solve for x
    x = 14,884,467.97/5,196.69
  6. Step 6: Final answer
    x = 2,864.22

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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.