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Finding the Fourth Proportional to 5,164.14, 7,727.07 and 3,085.28

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Solution

The fourth proportional to 5,164.14, 7,727.07 and 3,085.28 is: 4,616.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,164.14 : 7,727.07 = 3,085.28 : x
  2. Step 2: Convert to fraction form
    5,164.14/7,727.07 = 3,085.28/x
  3. Step 3: Cross multiply
    5,164.14x = 7,727.07 × 3,085.28
  4. Step 4: Simplify right side
    5,164.14x = 23,840,135.89
  5. Step 5: Solve for x
    x = 23,840,135.89/5,164.14
  6. Step 6: Final answer
    x = 4,616.48

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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.