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Finding the Fourth Proportional to 5,161.72, 7,172.59 and 5,108.20

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Solution

The fourth proportional to 5,161.72, 7,172.59 and 5,108.20 is: 7,098.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,161.72 : 7,172.59 = 5,108.20 : x
  2. Step 2: Convert to fraction form
    5,161.72/7,172.59 = 5,108.20/x
  3. Step 3: Cross multiply
    5,161.72x = 7,172.59 × 5,108.20
  4. Step 4: Simplify right side
    5,161.72x = 36,639,024.24
  5. Step 5: Solve for x
    x = 36,639,024.24/5,161.72
  6. Step 6: Final answer
    x = 7,098.22

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.