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Finding the Fourth Proportional to 3,678.26, 5,072.49 and 2,420.38

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Solution

The fourth proportional to 3,678.26, 5,072.49 and 2,420.38 is: 3,337.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678.26 : 5,072.49 = 2,420.38 : x
  2. Step 2: Convert to fraction form
    3,678.26/5,072.49 = 2,420.38/x
  3. Step 3: Cross multiply
    3,678.26x = 5,072.49 × 2,420.38
  4. Step 4: Simplify right side
    3,678.26x = 12,277,353.35
  5. Step 5: Solve for x
    x = 12,277,353.35/3,678.26
  6. Step 6: Final answer
    x = 3,337.82

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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.