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Finding the Fourth Proportional to 4,757.16, 7,135.74 and 1,294.92

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Solution

The fourth proportional to 4,757.16, 7,135.74 and 1,294.92 is: 1,942.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,757.16 : 7,135.74 = 1,294.92 : x
  2. Step 2: Convert to fraction form
    4,757.16/7,135.74 = 1,294.92/x
  3. Step 3: Cross multiply
    4,757.16x = 7,135.74 × 1,294.92
  4. Step 4: Simplify right side
    4,757.16x = 9,240,212.44
  5. Step 5: Solve for x
    x = 9,240,212.44/4,757.16
  6. Step 6: Final answer
    x = 1,942.38

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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.