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Finding the Fourth Proportional to 4,913.73, 7,369.74 and 1,450.17

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Solution

The fourth proportional to 4,913.73, 7,369.74 and 1,450.17 is: 2,175.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,913.73 : 7,369.74 = 1,450.17 : x
  2. Step 2: Convert to fraction form
    4,913.73/7,369.74 = 1,450.17/x
  3. Step 3: Cross multiply
    4,913.73x = 7,369.74 × 1,450.17
  4. Step 4: Simplify right side
    4,913.73x = 10,687,375.86
  5. Step 5: Solve for x
    x = 10,687,375.86/4,913.73
  6. Step 6: Final answer
    x = 2,175.00

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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.