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Finding the Fourth Proportional to 5,122.67, 7,072.30 and 4,827.43

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Solution

The fourth proportional to 5,122.67, 7,072.30 and 4,827.43 is: 6,664.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,122.67 : 7,072.30 = 4,827.43 : x
  2. Step 2: Convert to fraction form
    5,122.67/7,072.30 = 4,827.43/x
  3. Step 3: Cross multiply
    5,122.67x = 7,072.30 × 4,827.43
  4. Step 4: Simplify right side
    5,122.67x = 34,141,021.54
  5. Step 5: Solve for x
    x = 34,141,021.54/5,122.67
  6. Step 6: Final answer
    x = 6,664.69

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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.