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Finding the Fourth Proportional to 6,185.56, 9,265.97 and 3,719.03

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Solution

The fourth proportional to 6,185.56, 9,265.97 and 3,719.03 is: 5,571.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,185.56 : 9,265.97 = 3,719.03 : x
  2. Step 2: Convert to fraction form
    6,185.56/9,265.97 = 3,719.03/x
  3. Step 3: Cross multiply
    6,185.56x = 9,265.97 × 3,719.03
  4. Step 4: Simplify right side
    6,185.56x = 34,460,383.38
  5. Step 5: Solve for x
    x = 34,460,383.38/6,185.56
  6. Step 6: Final answer
    x = 5,571.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.