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Finding the Fourth Proportional to 3,274.97, 4,906.98 and 2,624.36

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Solution

The fourth proportional to 3,274.97, 4,906.98 and 2,624.36 is: 3,932.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,274.97 : 4,906.98 = 2,624.36 : x
  2. Step 2: Convert to fraction form
    3,274.97/4,906.98 = 2,624.36/x
  3. Step 3: Cross multiply
    3,274.97x = 4,906.98 × 2,624.36
  4. Step 4: Simplify right side
    3,274.97x = 12,877,657.50
  5. Step 5: Solve for x
    x = 12,877,657.50/3,274.97
  6. Step 6: Final answer
    x = 3,932.15

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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.