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Finding the Fourth Proportional to 4,123.50, 6,186.06 and 1,815

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Solution

The fourth proportional to 4,123.50, 6,186.06 and 1,815 is: 2,722.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,123.50 : 6,186.06 = 1,815 : x
  2. Step 2: Convert to fraction form
    4,123.50/6,186.06 = 1,815/x
  3. Step 3: Cross multiply
    4,123.50x = 6,186.06 × 1,815
  4. Step 4: Simplify right side
    4,123.50x = 11,227,698.90
  5. Step 5: Solve for x
    x = 11,227,698.90/4,123.50
  6. Step 6: Final answer
    x = 2,722.86

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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.