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Finding the Fourth Proportional to 3,364.46, 4,642.89 and 1,872.33

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Solution

The fourth proportional to 3,364.46, 4,642.89 and 1,872.33 is: 2,583.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,364.46 : 4,642.89 = 1,872.33 : x
  2. Step 2: Convert to fraction form
    3,364.46/4,642.89 = 1,872.33/x
  3. Step 3: Cross multiply
    3,364.46x = 4,642.89 × 1,872.33
  4. Step 4: Simplify right side
    3,364.46x = 8,693,022.23
  5. Step 5: Solve for x
    x = 8,693,022.23/3,364.46
  6. Step 6: Final answer
    x = 2,583.78

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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.