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Finding the Fourth Proportional to 5,965.75, 8,233.11 and 3,448.32

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Solution

The fourth proportional to 5,965.75, 8,233.11 and 3,448.32 is: 4,758.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,965.75 : 8,233.11 = 3,448.32 : x
  2. Step 2: Convert to fraction form
    5,965.75/8,233.11 = 3,448.32/x
  3. Step 3: Cross multiply
    5,965.75x = 8,233.11 × 3,448.32
  4. Step 4: Simplify right side
    5,965.75x = 28,390,367.00
  5. Step 5: Solve for x
    x = 28,390,367.00/5,965.75
  6. Step 6: Final answer
    x = 4,758.89

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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.