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Finding the Fourth Proportional to 3,816.80, 5,715.18 and 3,072.46

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Solution

The fourth proportional to 3,816.80, 5,715.18 and 3,072.46 is: 4,600.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,816.80 : 5,715.18 = 3,072.46 : x
  2. Step 2: Convert to fraction form
    3,816.80/5,715.18 = 3,072.46/x
  3. Step 3: Cross multiply
    3,816.80x = 5,715.18 × 3,072.46
  4. Step 4: Simplify right side
    3,816.80x = 17,559,661.94
  5. Step 5: Solve for x
    x = 17,559,661.94/3,816.80
  6. Step 6: Final answer
    x = 4,600.62

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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.