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Finding the Fourth Proportional to 3,898.28, 5,855.58 and 3,313.19

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Solution

The fourth proportional to 3,898.28, 5,855.58 and 3,313.19 is: 4,976.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,898.28 : 5,855.58 = 3,313.19 : x
  2. Step 2: Convert to fraction form
    3,898.28/5,855.58 = 3,313.19/x
  3. Step 3: Cross multiply
    3,898.28x = 5,855.58 × 3,313.19
  4. Step 4: Simplify right side
    3,898.28x = 19,400,619.82
  5. Step 5: Solve for x
    x = 19,400,619.82/3,898.28
  6. Step 6: Final answer
    x = 4,976.72

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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.