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Finding the Fourth Proportional to 5,493.20, 7,580.62 and 2,975.33

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Solution

The fourth proportional to 5,493.20, 7,580.62 and 2,975.33 is: 4,105.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,493.20 : 7,580.62 = 2,975.33 : x
  2. Step 2: Convert to fraction form
    5,493.20/7,580.62 = 2,975.33/x
  3. Step 3: Cross multiply
    5,493.20x = 7,580.62 × 2,975.33
  4. Step 4: Simplify right side
    5,493.20x = 22,554,846.10
  5. Step 5: Solve for x
    x = 22,554,846.10/5,493.20
  6. Step 6: Final answer
    x = 4,105.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.