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Finding the Fourth Proportional to 5,172.71, 7,755.82 and 3,415.85

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Solution

The fourth proportional to 5,172.71, 7,755.82 and 3,415.85 is: 5,121.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,172.71 : 7,755.82 = 3,415.85 : x
  2. Step 2: Convert to fraction form
    5,172.71/7,755.82 = 3,415.85/x
  3. Step 3: Cross multiply
    5,172.71x = 7,755.82 × 3,415.85
  4. Step 4: Simplify right side
    5,172.71x = 26,492,670.43
  5. Step 5: Solve for x
    x = 26,492,670.43/5,172.71
  6. Step 6: Final answer
    x = 5,121.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.