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Finding the Fourth Proportional to 3,485.64, 5,228.46 and 1,293.78

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Solution

The fourth proportional to 3,485.64, 5,228.46 and 1,293.78 is: 1,940.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,485.64 : 5,228.46 = 1,293.78 : x
  2. Step 2: Convert to fraction form
    3,485.64/5,228.46 = 1,293.78/x
  3. Step 3: Cross multiply
    3,485.64x = 5,228.46 × 1,293.78
  4. Step 4: Simplify right side
    3,485.64x = 6,764,476.98
  5. Step 5: Solve for x
    x = 6,764,476.98/3,485.64
  6. Step 6: Final answer
    x = 1,940.67

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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.