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Finding the Fourth Proportional to 5,965.66, 8,232.78 and 3,277

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Solution

The fourth proportional to 5,965.66, 8,232.78 and 3,277 is: 4,522.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,965.66 : 8,232.78 = 3,277 : x
  2. Step 2: Convert to fraction form
    5,965.66/8,232.78 = 3,277/x
  3. Step 3: Cross multiply
    5,965.66x = 8,232.78 × 3,277
  4. Step 4: Simplify right side
    5,965.66x = 26,978,820.06
  5. Step 5: Solve for x
    x = 26,978,820.06/5,965.66
  6. Step 6: Final answer
    x = 4,522.35

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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.