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Finding the Fourth Proportional to 3,446.02, 4,757.16 and 2,120.86

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Solution

The fourth proportional to 3,446.02, 4,757.16 and 2,120.86 is: 2,927.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,446.02 : 4,757.16 = 2,120.86 : x
  2. Step 2: Convert to fraction form
    3,446.02/4,757.16 = 2,120.86/x
  3. Step 3: Cross multiply
    3,446.02x = 4,757.16 × 2,120.86
  4. Step 4: Simplify right side
    3,446.02x = 10,089,270.36
  5. Step 5: Solve for x
    x = 10,089,270.36/3,446.02
  6. Step 6: Final answer
    x = 2,927.80

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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.