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Finding the Fourth Proportional to 3,369.40, 5,053.64 and 997.41

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Solution

The fourth proportional to 3,369.40, 5,053.64 and 997.41 is: 1,495.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,369.40 : 5,053.64 = 997.41 : x
  2. Step 2: Convert to fraction form
    3,369.40/5,053.64 = 997.41/x
  3. Step 3: Cross multiply
    3,369.40x = 5,053.64 × 997.41
  4. Step 4: Simplify right side
    3,369.40x = 5,040,570.65
  5. Step 5: Solve for x
    x = 5,040,570.65/3,369.40
  6. Step 6: Final answer
    x = 1,495.99

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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.