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Finding the Fourth Proportional to 5,398.38, 7,449.58 and 3,274.16

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Solution

The fourth proportional to 5,398.38, 7,449.58 and 3,274.16 is: 4,518.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,398.38 : 7,449.58 = 3,274.16 : x
  2. Step 2: Convert to fraction form
    5,398.38/7,449.58 = 3,274.16/x
  3. Step 3: Cross multiply
    5,398.38x = 7,449.58 × 3,274.16
  4. Step 4: Simplify right side
    5,398.38x = 24,391,116.85
  5. Step 5: Solve for x
    x = 24,391,116.85/5,398.38
  6. Step 6: Final answer
    x = 4,518.23

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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.