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Finding the Fourth Proportional to 3,827.40, 5,282.50 and 2,255.40

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Solution

The fourth proportional to 3,827.40, 5,282.50 and 2,255.40 is: 3,112.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.40 : 5,282.50 = 2,255.40 : x
  2. Step 2: Convert to fraction form
    3,827.40/5,282.50 = 2,255.40/x
  3. Step 3: Cross multiply
    3,827.40x = 5,282.50 × 2,255.40
  4. Step 4: Simplify right side
    3,827.40x = 11,914,150.50
  5. Step 5: Solve for x
    x = 11,914,150.50/3,827.40
  6. Step 6: Final answer
    x = 3,112.86

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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.