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Finding the Fourth Proportional to 3,969.24, 5,957.22 and 1,630.50

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Solution

The fourth proportional to 3,969.24, 5,957.22 and 1,630.50 is: 2,447.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,969.24 : 5,957.22 = 1,630.50 : x
  2. Step 2: Convert to fraction form
    3,969.24/5,957.22 = 1,630.50/x
  3. Step 3: Cross multiply
    3,969.24x = 5,957.22 × 1,630.50
  4. Step 4: Simplify right side
    3,969.24x = 9,713,247.21
  5. Step 5: Solve for x
    x = 9,713,247.21/3,969.24
  6. Step 6: Final answer
    x = 2,447.13

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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.