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Finding the Fourth Proportional to 4,801.50, 7,172.94 and 3,828.72

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Solution

The fourth proportional to 4,801.50, 7,172.94 and 3,828.72 is: 5,719.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,801.50 : 7,172.94 = 3,828.72 : x
  2. Step 2: Convert to fraction form
    4,801.50/7,172.94 = 3,828.72/x
  3. Step 3: Cross multiply
    4,801.50x = 7,172.94 × 3,828.72
  4. Step 4: Simplify right side
    4,801.50x = 27,463,178.84
  5. Step 5: Solve for x
    x = 27,463,178.84/4,801.50
  6. Step 6: Final answer
    x = 5,719.71

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.