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Finding the Fourth Proportional to 3,512.77, 4,846.64 and 2,096.48

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Solution

The fourth proportional to 3,512.77, 4,846.64 and 2,096.48 is: 2,892.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,512.77 : 4,846.64 = 2,096.48 : x
  2. Step 2: Convert to fraction form
    3,512.77/4,846.64 = 2,096.48/x
  3. Step 3: Cross multiply
    3,512.77x = 4,846.64 × 2,096.48
  4. Step 4: Simplify right side
    3,512.77x = 10,160,885.46
  5. Step 5: Solve for x
    x = 10,160,885.46/3,512.77
  6. Step 6: Final answer
    x = 2,892.56

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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.