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Finding the Fourth Proportional to 5,538, 8,310.24 and 2,460

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Solution

The fourth proportional to 5,538, 8,310.24 and 2,460 is: 3,691.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,538 : 8,310.24 = 2,460 : x
  2. Step 2: Convert to fraction form
    5,538/8,310.24 = 2,460/x
  3. Step 3: Cross multiply
    5,538x = 8,310.24 × 2,460
  4. Step 4: Simplify right side
    5,538x = 20,443,190.40
  5. Step 5: Solve for x
    x = 20,443,190.40/5,538
  6. Step 6: Final answer
    x = 3,691.44

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Why These Related Problems?

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