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Finding the Fourth Proportional to 6,522.96, 9,002.94 and 3,871.80

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Solution

The fourth proportional to 6,522.96, 9,002.94 and 3,871.80 is: 5,343.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,522.96 : 9,002.94 = 3,871.80 : x
  2. Step 2: Convert to fraction form
    6,522.96/9,002.94 = 3,871.80/x
  3. Step 3: Cross multiply
    6,522.96x = 9,002.94 × 3,871.80
  4. Step 4: Simplify right side
    6,522.96x = 34,857,583.09
  5. Step 5: Solve for x
    x = 34,857,583.09/6,522.96
  6. Step 6: Final answer
    x = 5,343.83

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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.