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Finding the Fourth Proportional to 3,364.67, 4,644.87 and 2,308.16

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Solution

The fourth proportional to 3,364.67, 4,644.87 and 2,308.16 is: 3,186.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,364.67 : 4,644.87 = 2,308.16 : x
  2. Step 2: Convert to fraction form
    3,364.67/4,644.87 = 2,308.16/x
  3. Step 3: Cross multiply
    3,364.67x = 4,644.87 × 2,308.16
  4. Step 4: Simplify right side
    3,364.67x = 10,721,103.14
  5. Step 5: Solve for x
    x = 10,721,103.14/3,364.67
  6. Step 6: Final answer
    x = 3,186.38

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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.