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Finding the Fourth Proportional to 4,146.54, 6,221.97 and 1,837.50

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Solution

The fourth proportional to 4,146.54, 6,221.97 and 1,837.50 is: 2,757.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,146.54 : 6,221.97 = 1,837.50 : x
  2. Step 2: Convert to fraction form
    4,146.54/6,221.97 = 1,837.50/x
  3. Step 3: Cross multiply
    4,146.54x = 6,221.97 × 1,837.50
  4. Step 4: Simplify right side
    4,146.54x = 11,432,869.88
  5. Step 5: Solve for x
    x = 11,432,869.88/4,146.54
  6. Step 6: Final answer
    x = 2,757.21

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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.