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Finding the Fourth Proportional to 4,142.54, 5,716.81 and 2,548.60

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Solution

The fourth proportional to 4,142.54, 5,716.81 and 2,548.60 is: 3,517.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,142.54 : 5,716.81 = 2,548.60 : x
  2. Step 2: Convert to fraction form
    4,142.54/5,716.81 = 2,548.60/x
  3. Step 3: Cross multiply
    4,142.54x = 5,716.81 × 2,548.60
  4. Step 4: Simplify right side
    4,142.54x = 14,569,850.86
  5. Step 5: Solve for x
    x = 14,569,850.86/4,142.54
  6. Step 6: Final answer
    x = 3,517.13

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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.