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Finding the Fourth Proportional to 3,739.38, 5,157.32 and 3,290.28

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Solution

The fourth proportional to 3,739.38, 5,157.32 and 3,290.28 is: 4,537.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,739.38 : 5,157.32 = 3,290.28 : x
  2. Step 2: Convert to fraction form
    3,739.38/5,157.32 = 3,290.28/x
  3. Step 3: Cross multiply
    3,739.38x = 5,157.32 × 3,290.28
  4. Step 4: Simplify right side
    3,739.38x = 16,969,010.40
  5. Step 5: Solve for x
    x = 16,969,010.40/3,739.38
  6. Step 6: Final answer
    x = 4,537.92

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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.