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Finding the Fourth Proportional to 6,173.69, 8,519.38 and 3,656.57

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Solution

The fourth proportional to 6,173.69, 8,519.38 and 3,656.57 is: 5,045.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,173.69 : 8,519.38 = 3,656.57 : x
  2. Step 2: Convert to fraction form
    6,173.69/8,519.38 = 3,656.57/x
  3. Step 3: Cross multiply
    6,173.69x = 8,519.38 × 3,656.57
  4. Step 4: Simplify right side
    6,173.69x = 31,151,657.59
  5. Step 5: Solve for x
    x = 31,151,657.59/6,173.69
  6. Step 6: Final answer
    x = 5,045.88

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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.