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Finding the Fourth Proportional to 4,900.54, 6,757.86 and 3,131.50

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Solution

The fourth proportional to 4,900.54, 6,757.86 and 3,131.50 is: 4,318.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,900.54 : 6,757.86 = 3,131.50 : x
  2. Step 2: Convert to fraction form
    4,900.54/6,757.86 = 3,131.50/x
  3. Step 3: Cross multiply
    4,900.54x = 6,757.86 × 3,131.50
  4. Step 4: Simplify right side
    4,900.54x = 21,162,238.59
  5. Step 5: Solve for x
    x = 21,162,238.59/4,900.54
  6. Step 6: Final answer
    x = 4,318.35

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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.