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Finding the Fourth Proportional to 5,399.40, 7,451.72 and 3,274.86

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Solution

The fourth proportional to 5,399.40, 7,451.72 and 3,274.86 is: 4,519.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,399.40 : 7,451.72 = 3,274.86 : x
  2. Step 2: Convert to fraction form
    5,399.40/7,451.72 = 3,274.86/x
  3. Step 3: Cross multiply
    5,399.40x = 7,451.72 × 3,274.86
  4. Step 4: Simplify right side
    5,399.40x = 24,403,323.38
  5. Step 5: Solve for x
    x = 24,403,323.38/5,399.40
  6. Step 6: Final answer
    x = 4,519.64

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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.