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Finding the Fourth Proportional to 3,399.26, 5,098.31 and 933.50

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Solution

The fourth proportional to 3,399.26, 5,098.31 and 933.50 is: 1,400.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,399.26 : 5,098.31 = 933.50 : x
  2. Step 2: Convert to fraction form
    3,399.26/5,098.31 = 933.50/x
  3. Step 3: Cross multiply
    3,399.26x = 5,098.31 × 933.50
  4. Step 4: Simplify right side
    3,399.26x = 4,759,272.39
  5. Step 5: Solve for x
    x = 4,759,272.39/3,399.26
  6. Step 6: Final answer
    x = 1,400.09

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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.