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Finding the Fourth Proportional to 3,827.88, 5,281.50 and 2,255.67

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Solution

The fourth proportional to 3,827.88, 5,281.50 and 2,255.67 is: 3,112.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.88 : 5,281.50 = 2,255.67 : x
  2. Step 2: Convert to fraction form
    3,827.88/5,281.50 = 2,255.67/x
  3. Step 3: Cross multiply
    3,827.88x = 5,281.50 × 2,255.67
  4. Step 4: Simplify right side
    3,827.88x = 11,913,321.11
  5. Step 5: Solve for x
    x = 11,913,321.11/3,827.88
  6. Step 6: Final answer
    x = 3,112.25

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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.