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Finding the Fourth Proportional to 5,328.94, 7,993.86 and 1,433.38

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Solution

The fourth proportional to 5,328.94, 7,993.86 and 1,433.38 is: 2,150.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,328.94 : 7,993.86 = 1,433.38 : x
  2. Step 2: Convert to fraction form
    5,328.94/7,993.86 = 1,433.38/x
  3. Step 3: Cross multiply
    5,328.94x = 7,993.86 × 1,433.38
  4. Step 4: Simplify right side
    5,328.94x = 11,458,239.05
  5. Step 5: Solve for x
    x = 11,458,239.05/5,328.94
  6. Step 6: Final answer
    x = 2,150.19

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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.