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Finding the Fourth Proportional to 4,805.96, 7,209.25 and 2,032.27

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Solution

The fourth proportional to 4,805.96, 7,209.25 and 2,032.27 is: 3,048.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,805.96 : 7,209.25 = 2,032.27 : x
  2. Step 2: Convert to fraction form
    4,805.96/7,209.25 = 2,032.27/x
  3. Step 3: Cross multiply
    4,805.96x = 7,209.25 × 2,032.27
  4. Step 4: Simplify right side
    4,805.96x = 14,651,119.39
  5. Step 5: Solve for x
    x = 14,651,119.39/4,805.96
  6. Step 6: Final answer
    x = 3,048.53

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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.