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Finding the Fourth Proportional to 3,414.54, 4,706.40 and 2,418.54

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Solution

The fourth proportional to 3,414.54, 4,706.40 and 2,418.54 is: 3,333.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414.54 : 4,706.40 = 2,418.54 : x
  2. Step 2: Convert to fraction form
    3,414.54/4,706.40 = 2,418.54/x
  3. Step 3: Cross multiply
    3,414.54x = 4,706.40 × 2,418.54
  4. Step 4: Simplify right side
    3,414.54x = 11,382,616.66
  5. Step 5: Solve for x
    x = 11,382,616.66/3,414.54
  6. Step 6: Final answer
    x = 3,333.57

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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.