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Finding the Fourth Proportional to 3,905.56, 5,863.02 and 3,287.80

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Solution

The fourth proportional to 3,905.56, 5,863.02 and 3,287.80 is: 4,935.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,905.56 : 5,863.02 = 3,287.80 : x
  2. Step 2: Convert to fraction form
    3,905.56/5,863.02 = 3,287.80/x
  3. Step 3: Cross multiply
    3,905.56x = 5,863.02 × 3,287.80
  4. Step 4: Simplify right side
    3,905.56x = 19,276,437.16
  5. Step 5: Solve for x
    x = 19,276,437.16/3,905.56
  6. Step 6: Final answer
    x = 4,935.64

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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.