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Finding the Fourth Proportional to 3,996.38, 5,518.49 and 2,506.86

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Solution

The fourth proportional to 3,996.38, 5,518.49 and 2,506.86 is: 3,461.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,996.38 : 5,518.49 = 2,506.86 : x
  2. Step 2: Convert to fraction form
    3,996.38/5,518.49 = 2,506.86/x
  3. Step 3: Cross multiply
    3,996.38x = 5,518.49 × 2,506.86
  4. Step 4: Simplify right side
    3,996.38x = 13,834,048.61
  5. Step 5: Solve for x
    x = 13,834,048.61/3,996.38
  6. Step 6: Final answer
    x = 3,461.65

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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.