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Finding the Fourth Proportional to 5,965.69, 8,232.03 and 3,448.61

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Solution

The fourth proportional to 5,965.69, 8,232.03 and 3,448.61 is: 4,758.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,965.69 : 8,232.03 = 3,448.61 : x
  2. Step 2: Convert to fraction form
    5,965.69/8,232.03 = 3,448.61/x
  3. Step 3: Cross multiply
    5,965.69x = 8,232.03 × 3,448.61
  4. Step 4: Simplify right side
    5,965.69x = 28,389,060.98
  5. Step 5: Solve for x
    x = 28,389,060.98/5,965.69
  6. Step 6: Final answer
    x = 4,758.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.