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Finding the Fourth Proportional to 5,185.27, 7,777.50 and 1,675.27

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Solution

The fourth proportional to 5,185.27, 7,777.50 and 1,675.27 is: 2,512.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,185.27 : 7,777.50 = 1,675.27 : x
  2. Step 2: Convert to fraction form
    5,185.27/7,777.50 = 1,675.27/x
  3. Step 3: Cross multiply
    5,185.27x = 7,777.50 × 1,675.27
  4. Step 4: Simplify right side
    5,185.27x = 13,029,412.43
  5. Step 5: Solve for x
    x = 13,029,412.43/5,185.27
  6. Step 6: Final answer
    x = 2,512.77

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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.