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Finding the Fourth Proportional to 4,906.36, 6,770.78 and 2,810.48

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Solution

The fourth proportional to 4,906.36, 6,770.78 and 2,810.48 is: 3,878.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,906.36 : 6,770.78 = 2,810.48 : x
  2. Step 2: Convert to fraction form
    4,906.36/6,770.78 = 2,810.48/x
  3. Step 3: Cross multiply
    4,906.36x = 6,770.78 × 2,810.48
  4. Step 4: Simplify right side
    4,906.36x = 19,029,141.77
  5. Step 5: Solve for x
    x = 19,029,141.77/4,906.36
  6. Step 6: Final answer
    x = 3,878.46

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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.