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Finding the Fourth Proportional to 5,147.29, 7,731.63 and 4,161.22

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Solution

The fourth proportional to 5,147.29, 7,731.63 and 4,161.22 is: 6,250.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,147.29 : 7,731.63 = 4,161.22 : x
  2. Step 2: Convert to fraction form
    5,147.29/7,731.63 = 4,161.22/x
  3. Step 3: Cross multiply
    5,147.29x = 7,731.63 × 4,161.22
  4. Step 4: Simplify right side
    5,147.29x = 32,172,994.06
  5. Step 5: Solve for x
    x = 32,172,994.06/5,147.29
  6. Step 6: Final answer
    x = 6,250.48

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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.