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Finding the Fourth Proportional to 4,872.66, 7,308.63 and 1,949.10

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Solution

The fourth proportional to 4,872.66, 7,308.63 and 1,949.10 is: 2,923.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,872.66 : 7,308.63 = 1,949.10 : x
  2. Step 2: Convert to fraction form
    4,872.66/7,308.63 = 1,949.10/x
  3. Step 3: Cross multiply
    4,872.66x = 7,308.63 × 1,949.10
  4. Step 4: Simplify right side
    4,872.66x = 14,245,250.73
  5. Step 5: Solve for x
    x = 14,245,250.73/4,872.66
  6. Step 6: Final answer
    x = 2,923.51

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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.