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Finding the Fourth Proportional to 5,072.57, 6,997.47 and 4,129.43

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Solution

The fourth proportional to 5,072.57, 6,997.47 and 4,129.43 is: 5,696.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,072.57 : 6,997.47 = 4,129.43 : x
  2. Step 2: Convert to fraction form
    5,072.57/6,997.47 = 4,129.43/x
  3. Step 3: Cross multiply
    5,072.57x = 6,997.47 × 4,129.43
  4. Step 4: Simplify right side
    5,072.57x = 28,895,562.54
  5. Step 5: Solve for x
    x = 28,895,562.54/5,072.57
  6. Step 6: Final answer
    x = 5,696.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.