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Finding the Fourth Proportional to 5,131.62, 7,696.62 and 2,169.45

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Solution

The fourth proportional to 5,131.62, 7,696.62 and 2,169.45 is: 3,253.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,131.62 : 7,696.62 = 2,169.45 : x
  2. Step 2: Convert to fraction form
    5,131.62/7,696.62 = 2,169.45/x
  3. Step 3: Cross multiply
    5,131.62x = 7,696.62 × 2,169.45
  4. Step 4: Simplify right side
    5,131.62x = 16,697,432.26
  5. Step 5: Solve for x
    x = 16,697,432.26/5,131.62
  6. Step 6: Final answer
    x = 3,253.83

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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.