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Finding the Fourth Proportional to 4,903.24, 6,764.61 and 3,134.56

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Solution

The fourth proportional to 4,903.24, 6,764.61 and 3,134.56 is: 4,324.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,903.24 : 6,764.61 = 3,134.56 : x
  2. Step 2: Convert to fraction form
    4,903.24/6,764.61 = 3,134.56/x
  3. Step 3: Cross multiply
    4,903.24x = 6,764.61 × 3,134.56
  4. Step 4: Simplify right side
    4,903.24x = 21,204,075.92
  5. Step 5: Solve for x
    x = 21,204,075.92/4,903.24
  6. Step 6: Final answer
    x = 4,324.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.