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Finding the Fourth Proportional to 4,604.96, 6,898.76 and 2,725.24

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Solution

The fourth proportional to 4,604.96, 6,898.76 and 2,725.24 is: 4,082.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,604.96 : 6,898.76 = 2,725.24 : x
  2. Step 2: Convert to fraction form
    4,604.96/6,898.76 = 2,725.24/x
  3. Step 3: Cross multiply
    4,604.96x = 6,898.76 × 2,725.24
  4. Step 4: Simplify right side
    4,604.96x = 18,800,776.70
  5. Step 5: Solve for x
    x = 18,800,776.70/4,604.96
  6. Step 6: Final answer
    x = 4,082.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.