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Finding the Fourth Proportional to 5,316.90, 7,338.09 and 3,193.38

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Solution

The fourth proportional to 5,316.90, 7,338.09 and 3,193.38 is: 4,407.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,316.90 : 7,338.09 = 3,193.38 : x
  2. Step 2: Convert to fraction form
    5,316.90/7,338.09 = 3,193.38/x
  3. Step 3: Cross multiply
    5,316.90x = 7,338.09 × 3,193.38
  4. Step 4: Simplify right side
    5,316.90x = 23,433,309.84
  5. Step 5: Solve for x
    x = 23,433,309.84/5,316.90
  6. Step 6: Final answer
    x = 4,407.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.