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Finding the Fourth Proportional to 4,282.78, 6,414.89 and 4,178.25

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Solution

The fourth proportional to 4,282.78, 6,414.89 and 4,178.25 is: 6,258.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,282.78 : 6,414.89 = 4,178.25 : x
  2. Step 2: Convert to fraction form
    4,282.78/6,414.89 = 4,178.25/x
  3. Step 3: Cross multiply
    4,282.78x = 6,414.89 × 4,178.25
  4. Step 4: Simplify right side
    4,282.78x = 26,802,961.18
  5. Step 5: Solve for x
    x = 26,802,961.18/4,282.78
  6. Step 6: Final answer
    x = 6,258.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.