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Finding the Fourth Proportional to 4,871.63, 7,297.83 and 3,223.19

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Solution

The fourth proportional to 4,871.63, 7,297.83 and 3,223.19 is: 4,828.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,871.63 : 7,297.83 = 3,223.19 : x
  2. Step 2: Convert to fraction form
    4,871.63/7,297.83 = 3,223.19/x
  3. Step 3: Cross multiply
    4,871.63x = 7,297.83 × 3,223.19
  4. Step 4: Simplify right side
    4,871.63x = 23,522,292.68
  5. Step 5: Solve for x
    x = 23,522,292.68/4,871.63
  6. Step 6: Final answer
    x = 4,828.42

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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.