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Finding the Fourth Proportional to 6,265.16, 8,644.02 and 3,611

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Solution

The fourth proportional to 6,265.16, 8,644.02 and 3,611 is: 4,982.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,265.16 : 8,644.02 = 3,611 : x
  2. Step 2: Convert to fraction form
    6,265.16/8,644.02 = 3,611/x
  3. Step 3: Cross multiply
    6,265.16x = 8,644.02 × 3,611
  4. Step 4: Simplify right side
    6,265.16x = 31,213,556.22
  5. Step 5: Solve for x
    x = 31,213,556.22/6,265.16
  6. Step 6: Final answer
    x = 4,982.08

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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.