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Finding the Fourth Proportional to 3,877.56, 5,348.09 and 2,684.54

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Solution

The fourth proportional to 3,877.56, 5,348.09 and 2,684.54 is: 3,702.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,877.56 : 5,348.09 = 2,684.54 : x
  2. Step 2: Convert to fraction form
    3,877.56/5,348.09 = 2,684.54/x
  3. Step 3: Cross multiply
    3,877.56x = 5,348.09 × 2,684.54
  4. Step 4: Simplify right side
    3,877.56x = 14,357,121.37
  5. Step 5: Solve for x
    x = 14,357,121.37/3,877.56
  6. Step 6: Final answer
    x = 3,702.62

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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.