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Finding the Fourth Proportional to 4,827.73, 7,249.65 and 3,256.57

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Solution

The fourth proportional to 4,827.73, 7,249.65 and 3,256.57 is: 4,890.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,827.73 : 7,249.65 = 3,256.57 : x
  2. Step 2: Convert to fraction form
    4,827.73/7,249.65 = 3,256.57/x
  3. Step 3: Cross multiply
    4,827.73x = 7,249.65 × 3,256.57
  4. Step 4: Simplify right side
    4,827.73x = 23,609,003.14
  5. Step 5: Solve for x
    x = 23,609,003.14/4,827.73
  6. Step 6: Final answer
    x = 4,890.29

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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.