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Finding the Fourth Proportional to 4,770.78, 7,148.27 and 1,847.49

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Solution

The fourth proportional to 4,770.78, 7,148.27 and 1,847.49 is: 2,768.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,770.78 : 7,148.27 = 1,847.49 : x
  2. Step 2: Convert to fraction form
    4,770.78/7,148.27 = 1,847.49/x
  3. Step 3: Cross multiply
    4,770.78x = 7,148.27 × 1,847.49
  4. Step 4: Simplify right side
    4,770.78x = 13,206,361.96
  5. Step 5: Solve for x
    x = 13,206,361.96/4,770.78
  6. Step 6: Final answer
    x = 2,768.18

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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.