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Finding the Fourth Proportional to 4,756, 7,133.92 and 3,926.56

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Solution

The fourth proportional to 4,756, 7,133.92 and 3,926.56 is: 5,889.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,756 : 7,133.92 = 3,926.56 : x
  2. Step 2: Convert to fraction form
    4,756/7,133.92 = 3,926.56/x
  3. Step 3: Cross multiply
    4,756x = 7,133.92 × 3,926.56
  4. Step 4: Simplify right side
    4,756x = 28,011,764.92
  5. Step 5: Solve for x
    x = 28,011,764.92/4,756
  6. Step 6: Final answer
    x = 5,889.77

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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.