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Finding the Fourth Proportional to 3,406.50, 5,082.17 and 3,078.45

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Solution

The fourth proportional to 3,406.50, 5,082.17 and 3,078.45 is: 4,592.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.50 : 5,082.17 = 3,078.45 : x
  2. Step 2: Convert to fraction form
    3,406.50/5,082.17 = 3,078.45/x
  3. Step 3: Cross multiply
    3,406.50x = 5,082.17 × 3,078.45
  4. Step 4: Simplify right side
    3,406.50x = 15,645,190.84
  5. Step 5: Solve for x
    x = 15,645,190.84/3,406.50
  6. Step 6: Final answer
    x = 4,592.75

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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.