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Finding the Fourth Proportional to 5,893.16, 8,133.82 and 3,375.68

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Solution

The fourth proportional to 5,893.16, 8,133.82 and 3,375.68 is: 4,659.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,893.16 : 8,133.82 = 3,375.68 : x
  2. Step 2: Convert to fraction form
    5,893.16/8,133.82 = 3,375.68/x
  3. Step 3: Cross multiply
    5,893.16x = 8,133.82 × 3,375.68
  4. Step 4: Simplify right side
    5,893.16x = 27,457,124.39
  5. Step 5: Solve for x
    x = 27,457,124.39/5,893.16
  6. Step 6: Final answer
    x = 4,659.16

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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.