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Finding the Fourth Proportional to 4,141.94, 5,724.06 and 3,394.70

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Solution

The fourth proportional to 4,141.94, 5,724.06 and 3,394.70 is: 4,691.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,141.94 : 5,724.06 = 3,394.70 : x
  2. Step 2: Convert to fraction form
    4,141.94/5,724.06 = 3,394.70/x
  3. Step 3: Cross multiply
    4,141.94x = 5,724.06 × 3,394.70
  4. Step 4: Simplify right side
    4,141.94x = 19,431,466.48
  5. Step 5: Solve for x
    x = 19,431,466.48/4,141.94
  6. Step 6: Final answer
    x = 4,691.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.