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Finding the Fourth Proportional to 5,850.97, 8,774.67 and 3,076.14

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Solution

The fourth proportional to 5,850.97, 8,774.67 and 3,076.14 is: 4,613.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,850.97 : 8,774.67 = 3,076.14 : x
  2. Step 2: Convert to fraction form
    5,850.97/8,774.67 = 3,076.14/x
  3. Step 3: Cross multiply
    5,850.97x = 8,774.67 × 3,076.14
  4. Step 4: Simplify right side
    5,850.97x = 26,992,069.50
  5. Step 5: Solve for x
    x = 26,992,069.50/5,850.97
  6. Step 6: Final answer
    x = 4,613.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.