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Finding the Fourth Proportional to 3,827, 5,280.60 and 2,255.40

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Solution

The fourth proportional to 3,827, 5,280.60 and 2,255.40 is: 3,112.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827 : 5,280.60 = 2,255.40 : x
  2. Step 2: Convert to fraction form
    3,827/5,280.60 = 2,255.40/x
  3. Step 3: Cross multiply
    3,827x = 5,280.60 × 2,255.40
  4. Step 4: Simplify right side
    3,827x = 11,909,865.24
  5. Step 5: Solve for x
    x = 11,909,865.24/3,827
  6. Step 6: Final answer
    x = 3,112.06

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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.