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Finding the Fourth Proportional to 3,715.05, 5,122.29 and 3,209.99

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Solution

The fourth proportional to 3,715.05, 5,122.29 and 3,209.99 is: 4,425.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,715.05 : 5,122.29 = 3,209.99 : x
  2. Step 2: Convert to fraction form
    3,715.05/5,122.29 = 3,209.99/x
  3. Step 3: Cross multiply
    3,715.05x = 5,122.29 × 3,209.99
  4. Step 4: Simplify right side
    3,715.05x = 16,442,504.06
  5. Step 5: Solve for x
    x = 16,442,504.06/3,715.05
  6. Step 6: Final answer
    x = 4,425.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.