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Finding the Fourth Proportional to 3,462.15, 5,194.53 and 2,076.48

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Solution

The fourth proportional to 3,462.15, 5,194.53 and 2,076.48 is: 3,115.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.15 : 5,194.53 = 2,076.48 : x
  2. Step 2: Convert to fraction form
    3,462.15/5,194.53 = 2,076.48/x
  3. Step 3: Cross multiply
    3,462.15x = 5,194.53 × 2,076.48
  4. Step 4: Simplify right side
    3,462.15x = 10,786,337.65
  5. Step 5: Solve for x
    x = 10,786,337.65/3,462.15
  6. Step 6: Final answer
    x = 3,115.50

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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.