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Finding the Fourth Proportional to 3,898.24, 5,797.27 and 3,775.22

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Solution

The fourth proportional to 3,898.24, 5,797.27 and 3,775.22 is: 5,614.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,898.24 : 5,797.27 = 3,775.22 : x
  2. Step 2: Convert to fraction form
    3,898.24/5,797.27 = 3,775.22/x
  3. Step 3: Cross multiply
    3,898.24x = 5,797.27 × 3,775.22
  4. Step 4: Simplify right side
    3,898.24x = 21,885,969.65
  5. Step 5: Solve for x
    x = 21,885,969.65/3,898.24
  6. Step 6: Final answer
    x = 5,614.32

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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.