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Finding the Fourth Proportional to 3,342.98, 4,632.86 and 3,296

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Solution

The fourth proportional to 3,342.98, 4,632.86 and 3,296 is: 4,567.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,342.98 : 4,632.86 = 3,296 : x
  2. Step 2: Convert to fraction form
    3,342.98/4,632.86 = 3,296/x
  3. Step 3: Cross multiply
    3,342.98x = 4,632.86 × 3,296
  4. Step 4: Simplify right side
    3,342.98x = 15,269,906.56
  5. Step 5: Solve for x
    x = 15,269,906.56/3,342.98
  6. Step 6: Final answer
    x = 4,567.75

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.