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Finding the Fourth Proportional to 4,770.53, 7,147.90 and 1,847.24

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Solution

The fourth proportional to 4,770.53, 7,147.90 and 1,847.24 is: 2,767.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,770.53 : 7,147.90 = 1,847.24 : x
  2. Step 2: Convert to fraction form
    4,770.53/7,147.90 = 1,847.24/x
  3. Step 3: Cross multiply
    4,770.53x = 7,147.90 × 1,847.24
  4. Step 4: Simplify right side
    4,770.53x = 13,203,877.56
  5. Step 5: Solve for x
    x = 13,203,877.56/4,770.53
  6. Step 6: Final answer
    x = 2,767.80

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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.