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Finding the Fourth Proportional to 5,935.64, 8,191.38 and 3,283.29

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Solution

The fourth proportional to 5,935.64, 8,191.38 and 3,283.29 is: 4,531.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,935.64 : 8,191.38 = 3,283.29 : x
  2. Step 2: Convert to fraction form
    5,935.64/8,191.38 = 3,283.29/x
  3. Step 3: Cross multiply
    5,935.64x = 8,191.38 × 3,283.29
  4. Step 4: Simplify right side
    5,935.64x = 26,894,676.04
  5. Step 5: Solve for x
    x = 26,894,676.04/5,935.64
  6. Step 6: Final answer
    x = 4,531.05

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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.