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Finding the Fourth Proportional to 3,588.71, 5,391.23 and 3,096.63

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Solution

The fourth proportional to 3,588.71, 5,391.23 and 3,096.63 is: 4,651.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,588.71 : 5,391.23 = 3,096.63 : x
  2. Step 2: Convert to fraction form
    3,588.71/5,391.23 = 3,096.63/x
  3. Step 3: Cross multiply
    3,588.71x = 5,391.23 × 3,096.63
  4. Step 4: Simplify right side
    3,588.71x = 16,694,629.07
  5. Step 5: Solve for x
    x = 16,694,629.07/3,588.71
  6. Step 6: Final answer
    x = 4,651.99

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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.