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Finding the Fourth Proportional to 4,527.53, 6,793.25 and 2,449

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Solution

The fourth proportional to 4,527.53, 6,793.25 and 2,449 is: 3,674.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,527.53 : 6,793.25 = 2,449 : x
  2. Step 2: Convert to fraction form
    4,527.53/6,793.25 = 2,449/x
  3. Step 3: Cross multiply
    4,527.53x = 6,793.25 × 2,449
  4. Step 4: Simplify right side
    4,527.53x = 16,636,669.25
  5. Step 5: Solve for x
    x = 16,636,669.25/4,527.53
  6. Step 6: Final answer
    x = 3,674.56

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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.