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Finding the Fourth Proportional to 4,725.27, 7,083.80 and 1,950.21

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Solution

The fourth proportional to 4,725.27, 7,083.80 and 1,950.21 is: 2,923.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,725.27 : 7,083.80 = 1,950.21 : x
  2. Step 2: Convert to fraction form
    4,725.27/7,083.80 = 1,950.21/x
  3. Step 3: Cross multiply
    4,725.27x = 7,083.80 × 1,950.21
  4. Step 4: Simplify right side
    4,725.27x = 13,814,887.85
  5. Step 5: Solve for x
    x = 13,814,887.85/4,725.27
  6. Step 6: Final answer
    x = 2,923.62

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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.