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Finding the Fourth Proportional to 4,906.98, 6,769.78 and 3,135.51

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Solution

The fourth proportional to 4,906.98, 6,769.78 and 3,135.51 is: 4,325.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,906.98 : 6,769.78 = 3,135.51 : x
  2. Step 2: Convert to fraction form
    4,906.98/6,769.78 = 3,135.51/x
  3. Step 3: Cross multiply
    4,906.98x = 6,769.78 × 3,135.51
  4. Step 4: Simplify right side
    4,906.98x = 21,226,705.05
  5. Step 5: Solve for x
    x = 21,226,705.05/4,906.98
  6. Step 6: Final answer
    x = 4,325.82

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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.