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Finding the Fourth Proportional to 4,770.34, 7,150.02 and 1,847.04

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Solution

The fourth proportional to 4,770.34, 7,150.02 and 1,847.04 is: 2,768.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,770.34 : 7,150.02 = 1,847.04 : x
  2. Step 2: Convert to fraction form
    4,770.34/7,150.02 = 1,847.04/x
  3. Step 3: Cross multiply
    4,770.34x = 7,150.02 × 1,847.04
  4. Step 4: Simplify right side
    4,770.34x = 13,206,372.94
  5. Step 5: Solve for x
    x = 13,206,372.94/4,770.34
  6. Step 6: Final answer
    x = 2,768.43

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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.