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Finding the Fourth Proportional to 4,122.56, 6,184.12 and 1,348.50

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Solution

The fourth proportional to 4,122.56, 6,184.12 and 1,348.50 is: 2,022.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,122.56 : 6,184.12 = 1,348.50 : x
  2. Step 2: Convert to fraction form
    4,122.56/6,184.12 = 1,348.50/x
  3. Step 3: Cross multiply
    4,122.56x = 6,184.12 × 1,348.50
  4. Step 4: Simplify right side
    4,122.56x = 8,339,285.82
  5. Step 5: Solve for x
    x = 8,339,285.82/4,122.56
  6. Step 6: Final answer
    x = 2,022.84

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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.