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Finding the Fourth Proportional to 3,963.30, 5,942.73 and 1,624.95

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Solution

The fourth proportional to 3,963.30, 5,942.73 and 1,624.95 is: 2,436.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,963.30 : 5,942.73 = 1,624.95 : x
  2. Step 2: Convert to fraction form
    3,963.30/5,942.73 = 1,624.95/x
  3. Step 3: Cross multiply
    3,963.30x = 5,942.73 × 1,624.95
  4. Step 4: Simplify right side
    3,963.30x = 9,656,639.11
  5. Step 5: Solve for x
    x = 9,656,639.11/3,963.30
  6. Step 6: Final answer
    x = 2,436.51

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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.