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Finding the Fourth Proportional to 3,817.56, 5,680.61 and 3,804.60

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Solution

The fourth proportional to 3,817.56, 5,680.61 and 3,804.60 is: 5,661.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,817.56 : 5,680.61 = 3,804.60 : x
  2. Step 2: Convert to fraction form
    3,817.56/5,680.61 = 3,804.60/x
  3. Step 3: Cross multiply
    3,817.56x = 5,680.61 × 3,804.60
  4. Step 4: Simplify right side
    3,817.56x = 21,612,448.81
  5. Step 5: Solve for x
    x = 21,612,448.81/3,817.56
  6. Step 6: Final answer
    x = 5,661.33

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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.