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Finding the Fourth Proportional to 4,823.25, 7,231.64 and 3,883.65

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Solution

The fourth proportional to 4,823.25, 7,231.64 and 3,883.65 is: 5,822.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,823.25 : 7,231.64 = 3,883.65 : x
  2. Step 2: Convert to fraction form
    4,823.25/7,231.64 = 3,883.65/x
  3. Step 3: Cross multiply
    4,823.25x = 7,231.64 × 3,883.65
  4. Step 4: Simplify right side
    4,823.25x = 28,085,139.27
  5. Step 5: Solve for x
    x = 28,085,139.27/4,823.25
  6. Step 6: Final answer
    x = 5,822.87

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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.