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Finding the Fourth Proportional to 3,957.68, 5,460.60 and 2,255.80

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Solution

The fourth proportional to 3,957.68, 5,460.60 and 2,255.80 is: 3,112.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,957.68 : 5,460.60 = 2,255.80 : x
  2. Step 2: Convert to fraction form
    3,957.68/5,460.60 = 2,255.80/x
  3. Step 3: Cross multiply
    3,957.68x = 5,460.60 × 2,255.80
  4. Step 4: Simplify right side
    3,957.68x = 12,318,021.48
  5. Step 5: Solve for x
    x = 12,318,021.48/3,957.68
  6. Step 6: Final answer
    x = 3,112.43

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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.