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Finding the Fourth Proportional to 5,492.12, 7,578.42 and 3,134.12

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Solution

The fourth proportional to 5,492.12, 7,578.42 and 3,134.12 is: 4,324.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,492.12 : 7,578.42 = 3,134.12 : x
  2. Step 2: Convert to fraction form
    5,492.12/7,578.42 = 3,134.12/x
  3. Step 3: Cross multiply
    5,492.12x = 7,578.42 × 3,134.12
  4. Step 4: Simplify right side
    5,492.12x = 23,751,677.69
  5. Step 5: Solve for x
    x = 23,751,677.69/5,492.12
  6. Step 6: Final answer
    x = 4,324.68

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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.