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Finding the Fourth Proportional to 3,369.26, 5,053.73 and 904.03

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Solution

The fourth proportional to 3,369.26, 5,053.73 and 904.03 is: 1,356.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,369.26 : 5,053.73 = 904.03 : x
  2. Step 2: Convert to fraction form
    3,369.26/5,053.73 = 904.03/x
  3. Step 3: Cross multiply
    3,369.26x = 5,053.73 × 904.03
  4. Step 4: Simplify right side
    3,369.26x = 4,568,706.38
  5. Step 5: Solve for x
    x = 4,568,706.38/3,369.26
  6. Step 6: Final answer
    x = 1,356.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.