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Finding the Fourth Proportional to 4,757.76, 7,135.84 and 1,294.24

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Solution

The fourth proportional to 4,757.76, 7,135.84 and 1,294.24 is: 1,941.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,757.76 : 7,135.84 = 1,294.24 : x
  2. Step 2: Convert to fraction form
    4,757.76/7,135.84 = 1,294.24/x
  3. Step 3: Cross multiply
    4,757.76x = 7,135.84 × 1,294.24
  4. Step 4: Simplify right side
    4,757.76x = 9,235,489.56
  5. Step 5: Solve for x
    x = 9,235,489.56/4,757.76
  6. Step 6: Final answer
    x = 1,941.14

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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.