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Finding the Fourth Proportional to 3,825.76, 5,282.48 and 2,940.16

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Solution

The fourth proportional to 3,825.76, 5,282.48 and 2,940.16 is: 4,059.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,825.76 : 5,282.48 = 2,940.16 : x
  2. Step 2: Convert to fraction form
    3,825.76/5,282.48 = 2,940.16/x
  3. Step 3: Cross multiply
    3,825.76x = 5,282.48 × 2,940.16
  4. Step 4: Simplify right side
    3,825.76x = 15,531,336.40
  5. Step 5: Solve for x
    x = 15,531,336.40/3,825.76
  6. Step 6: Final answer
    x = 4,059.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.