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Finding the Fourth Proportional to 5,170.99, 7,751.93 and 3,853.09

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Solution

The fourth proportional to 5,170.99, 7,751.93 and 3,853.09 is: 5,776.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,170.99 : 7,751.93 = 3,853.09 : x
  2. Step 2: Convert to fraction form
    5,170.99/7,751.93 = 3,853.09/x
  3. Step 3: Cross multiply
    5,170.99x = 7,751.93 × 3,853.09
  4. Step 4: Simplify right side
    5,170.99x = 29,868,907.03
  5. Step 5: Solve for x
    x = 29,868,907.03/5,170.99
  6. Step 6: Final answer
    x = 5,776.25

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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.