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Finding the Fourth Proportional to 3,426.87, 5,139.67 and 1,672.90

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Solution

The fourth proportional to 3,426.87, 5,139.67 and 1,672.90 is: 2,509.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,426.87 : 5,139.67 = 1,672.90 : x
  2. Step 2: Convert to fraction form
    3,426.87/5,139.67 = 1,672.90/x
  3. Step 3: Cross multiply
    3,426.87x = 5,139.67 × 1,672.90
  4. Step 4: Simplify right side
    3,426.87x = 8,598,153.94
  5. Step 5: Solve for x
    x = 8,598,153.94/3,426.87
  6. Step 6: Final answer
    x = 2,509.04

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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.