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Finding the Fourth Proportional to 3,606.53, 5,382.05 and 3,191.00

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Solution

The fourth proportional to 3,606.53, 5,382.05 and 3,191.00 is: 4,761.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,606.53 : 5,382.05 = 3,191.00 : x
  2. Step 2: Convert to fraction form
    3,606.53/5,382.05 = 3,191.00/x
  3. Step 3: Cross multiply
    3,606.53x = 5,382.05 × 3,191.00
  4. Step 4: Simplify right side
    3,606.53x = 17,174,078.68
  5. Step 5: Solve for x
    x = 17,174,078.68/3,606.53
  6. Step 6: Final answer
    x = 4,761.95

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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.