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Finding the Fourth Proportional to 5,164.16, 7,741.92 and 2,085.44

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Solution

The fourth proportional to 5,164.16, 7,741.92 and 2,085.44 is: 3,126.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,164.16 : 7,741.92 = 2,085.44 : x
  2. Step 2: Convert to fraction form
    5,164.16/7,741.92 = 2,085.44/x
  3. Step 3: Cross multiply
    5,164.16x = 7,741.92 × 2,085.44
  4. Step 4: Simplify right side
    5,164.16x = 16,145,309.64
  5. Step 5: Solve for x
    x = 16,145,309.64/5,164.16
  6. Step 6: Final answer
    x = 3,126.42

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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.