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Finding the Fourth Proportional to 3,690.40, 5,519.40 and 3,107.20

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Solution

The fourth proportional to 3,690.40, 5,519.40 and 3,107.20 is: 4,647.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,690.40 : 5,519.40 = 3,107.20 : x
  2. Step 2: Convert to fraction form
    3,690.40/5,519.40 = 3,107.20/x
  3. Step 3: Cross multiply
    3,690.40x = 5,519.40 × 3,107.20
  4. Step 4: Simplify right side
    3,690.40x = 17,149,879.68
  5. Step 5: Solve for x
    x = 17,149,879.68/3,690.40
  6. Step 6: Final answer
    x = 4,647.16

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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.