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Finding the Fourth Proportional to 5,696.77, 8,539 and 3,236.39

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Solution

The fourth proportional to 5,696.77, 8,539 and 3,236.39 is: 4,851.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,696.77 : 8,539 = 3,236.39 : x
  2. Step 2: Convert to fraction form
    5,696.77/8,539 = 3,236.39/x
  3. Step 3: Cross multiply
    5,696.77x = 8,539 × 3,236.39
  4. Step 4: Simplify right side
    5,696.77x = 27,635,534.21
  5. Step 5: Solve for x
    x = 27,635,534.21/5,696.77
  6. Step 6: Final answer
    x = 4,851.09

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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.