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Finding the Fourth Proportional to 3,277.07, 4,878.54 and 3,257.61

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Solution

The fourth proportional to 3,277.07, 4,878.54 and 3,257.61 is: 4,849.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,277.07 : 4,878.54 = 3,257.61 : x
  2. Step 2: Convert to fraction form
    3,277.07/4,878.54 = 3,257.61/x
  3. Step 3: Cross multiply
    3,277.07x = 4,878.54 × 3,257.61
  4. Step 4: Simplify right side
    3,277.07x = 15,892,380.69
  5. Step 5: Solve for x
    x = 15,892,380.69/3,277.07
  6. Step 6: Final answer
    x = 4,849.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.