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Finding the Fourth Proportional to 5,474.79, 8,209.76 and 2,551.50

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Solution

The fourth proportional to 5,474.79, 8,209.76 and 2,551.50 is: 3,826.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,474.79 : 8,209.76 = 2,551.50 : x
  2. Step 2: Convert to fraction form
    5,474.79/8,209.76 = 2,551.50/x
  3. Step 3: Cross multiply
    5,474.79x = 8,209.76 × 2,551.50
  4. Step 4: Simplify right side
    5,474.79x = 20,947,189.88
  5. Step 5: Solve for x
    x = 20,947,189.88/5,474.79
  6. Step 6: Final answer
    x = 3,826.12

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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.