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Finding the Fourth Proportional to 3,446.82, 4,756.89 and 2,120.98

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Solution

The fourth proportional to 3,446.82, 4,756.89 and 2,120.98 is: 2,927.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,446.82 : 4,756.89 = 2,120.98 : x
  2. Step 2: Convert to fraction form
    3,446.82/4,756.89 = 2,120.98/x
  3. Step 3: Cross multiply
    3,446.82x = 4,756.89 × 2,120.98
  4. Step 4: Simplify right side
    3,446.82x = 10,089,268.55
  5. Step 5: Solve for x
    x = 10,089,268.55/3,446.82
  6. Step 6: Final answer
    x = 2,927.12

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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.