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Finding the Fourth Proportional to 5,034.82, 7,544.10 and 3,081.10

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Solution

The fourth proportional to 5,034.82, 7,544.10 and 3,081.10 is: 4,616.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,034.82 : 7,544.10 = 3,081.10 : x
  2. Step 2: Convert to fraction form
    5,034.82/7,544.10 = 3,081.10/x
  3. Step 3: Cross multiply
    5,034.82x = 7,544.10 × 3,081.10
  4. Step 4: Simplify right side
    5,034.82x = 23,244,126.51
  5. Step 5: Solve for x
    x = 23,244,126.51/5,034.82
  6. Step 6: Final answer
    x = 4,616.67

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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.