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Finding the Fourth Proportional to 5,418.42, 7,477.38 and 2,934.42

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Solution

The fourth proportional to 5,418.42, 7,477.38 and 2,934.42 is: 4,049.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,418.42 : 7,477.38 = 2,934.42 : x
  2. Step 2: Convert to fraction form
    5,418.42/7,477.38 = 2,934.42/x
  3. Step 3: Cross multiply
    5,418.42x = 7,477.38 × 2,934.42
  4. Step 4: Simplify right side
    5,418.42x = 21,941,773.42
  5. Step 5: Solve for x
    x = 21,941,773.42/5,418.42
  6. Step 6: Final answer
    x = 4,049.48

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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.