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Finding the Fourth Proportional to 4,757.42, 7,137.30 and 3,354.58

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Solution

The fourth proportional to 4,757.42, 7,137.30 and 3,354.58 is: 5,032.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,757.42 : 7,137.30 = 3,354.58 : x
  2. Step 2: Convert to fraction form
    4,757.42/7,137.30 = 3,354.58/x
  3. Step 3: Cross multiply
    4,757.42x = 7,137.30 × 3,354.58
  4. Step 4: Simplify right side
    4,757.42x = 23,942,625.99
  5. Step 5: Solve for x
    x = 23,942,625.99/4,757.42
  6. Step 6: Final answer
    x = 5,032.69

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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.