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Finding the Fourth Proportional to 3,272.87, 4,909.58 and 3,106.82

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Solution

The fourth proportional to 3,272.87, 4,909.58 and 3,106.82 is: 4,660.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,272.87 : 4,909.58 = 3,106.82 : x
  2. Step 2: Convert to fraction form
    3,272.87/4,909.58 = 3,106.82/x
  3. Step 3: Cross multiply
    3,272.87x = 4,909.58 × 3,106.82
  4. Step 4: Simplify right side
    3,272.87x = 15,253,141.25
  5. Step 5: Solve for x
    x = 15,253,141.25/3,272.87
  6. Step 6: Final answer
    x = 4,660.49

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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.