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Finding the Fourth Proportional to 5,460.75, 8,189.04 and 1,950.10

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Solution

The fourth proportional to 5,460.75, 8,189.04 and 1,950.10 is: 2,924.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,460.75 : 8,189.04 = 1,950.10 : x
  2. Step 2: Convert to fraction form
    5,460.75/8,189.04 = 1,950.10/x
  3. Step 3: Cross multiply
    5,460.75x = 8,189.04 × 1,950.10
  4. Step 4: Simplify right side
    5,460.75x = 15,969,464.45
  5. Step 5: Solve for x
    x = 15,969,464.45/5,460.75
  6. Step 6: Final answer
    x = 2,924.41

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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.