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Finding the Fourth Proportional to 3,992.89, 5,509.57 and 2,314.46

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Solution

The fourth proportional to 3,992.89, 5,509.57 and 2,314.46 is: 3,193.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,992.89 : 5,509.57 = 2,314.46 : x
  2. Step 2: Convert to fraction form
    3,992.89/5,509.57 = 2,314.46/x
  3. Step 3: Cross multiply
    3,992.89x = 5,509.57 × 2,314.46
  4. Step 4: Simplify right side
    3,992.89x = 12,751,679.38
  5. Step 5: Solve for x
    x = 12,751,679.38/3,992.89
  6. Step 6: Final answer
    x = 3,193.60

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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.