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Finding the Fourth Proportional to 5,400.56, 8,097.65 and 2,109.80

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Solution

The fourth proportional to 5,400.56, 8,097.65 and 2,109.80 is: 3,163.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,400.56 : 8,097.65 = 2,109.80 : x
  2. Step 2: Convert to fraction form
    5,400.56/8,097.65 = 2,109.80/x
  3. Step 3: Cross multiply
    5,400.56x = 8,097.65 × 2,109.80
  4. Step 4: Simplify right side
    5,400.56x = 17,084,421.97
  5. Step 5: Solve for x
    x = 17,084,421.97/5,400.56
  6. Step 6: Final answer
    x = 3,163.45

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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.