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Finding the Fourth Proportional to 3,516.42, 4,851.82 and 2,189.42

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Solution

The fourth proportional to 3,516.42, 4,851.82 and 2,189.42 is: 3,020.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,516.42 : 4,851.82 = 2,189.42 : x
  2. Step 2: Convert to fraction form
    3,516.42/4,851.82 = 2,189.42/x
  3. Step 3: Cross multiply
    3,516.42x = 4,851.82 × 2,189.42
  4. Step 4: Simplify right side
    3,516.42x = 10,622,671.74
  5. Step 5: Solve for x
    x = 10,622,671.74/3,516.42
  6. Step 6: Final answer
    x = 3,020.88

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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.