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Finding the Fourth Proportional to 4,516.50, 6,774.84 and 1,744.50

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Solution

The fourth proportional to 4,516.50, 6,774.84 and 1,744.50 is: 2,616.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,516.50 : 6,774.84 = 1,744.50 : x
  2. Step 2: Convert to fraction form
    4,516.50/6,774.84 = 1,744.50/x
  3. Step 3: Cross multiply
    4,516.50x = 6,774.84 × 1,744.50
  4. Step 4: Simplify right side
    4,516.50x = 11,818,708.38
  5. Step 5: Solve for x
    x = 11,818,708.38/4,516.50
  6. Step 6: Final answer
    x = 2,616.78

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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.