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Finding the Fourth Proportional to 5,229, 7,845.12 and 2,151

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Solution

The fourth proportional to 5,229, 7,845.12 and 2,151 is: 3,227.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,229 : 7,845.12 = 2,151 : x
  2. Step 2: Convert to fraction form
    5,229/7,845.12 = 2,151/x
  3. Step 3: Cross multiply
    5,229x = 7,845.12 × 2,151
  4. Step 4: Simplify right side
    5,229x = 16,874,853.12
  5. Step 5: Solve for x
    x = 16,874,853.12/5,229
  6. Step 6: Final answer
    x = 3,227.17

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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.