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Finding the Fourth Proportional to 3,827.01, 5,282.60 and 2,255

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Solution

The fourth proportional to 3,827.01, 5,282.60 and 2,255 is: 3,112.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.01 : 5,282.60 = 2,255 : x
  2. Step 2: Convert to fraction form
    3,827.01/5,282.60 = 2,255/x
  3. Step 3: Cross multiply
    3,827.01x = 5,282.60 × 2,255
  4. Step 4: Simplify right side
    3,827.01x = 11,912,263
  5. Step 5: Solve for x
    x = 11,912,263/3,827.01
  6. Step 6: Final answer
    x = 3,112.68

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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.