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Finding the Fourth Proportional to 5,415.42, 7,474.23 and 5,169.18

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Solution

The fourth proportional to 5,415.42, 7,474.23 and 5,169.18 is: 7,134.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,415.42 : 7,474.23 = 5,169.18 : x
  2. Step 2: Convert to fraction form
    5,415.42/7,474.23 = 5,169.18/x
  3. Step 3: Cross multiply
    5,415.42x = 7,474.23 × 5,169.18
  4. Step 4: Simplify right side
    5,415.42x = 38,635,640.23
  5. Step 5: Solve for x
    x = 38,635,640.23/5,415.42
  6. Step 6: Final answer
    x = 7,134.38

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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.