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Finding the Fourth Proportional to 3,907.24, 5,861.94 and 3,477.40

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Solution

The fourth proportional to 3,907.24, 5,861.94 and 3,477.40 is: 5,217.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,907.24 : 5,861.94 = 3,477.40 : x
  2. Step 2: Convert to fraction form
    3,907.24/5,861.94 = 3,477.40/x
  3. Step 3: Cross multiply
    3,907.24x = 5,861.94 × 3,477.40
  4. Step 4: Simplify right side
    3,907.24x = 20,384,310.16
  5. Step 5: Solve for x
    x = 20,384,310.16/3,907.24
  6. Step 6: Final answer
    x = 5,217.06

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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.