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Finding the Fourth Proportional to 5,967.66, 8,236.08 and 3,578.34

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Solution

The fourth proportional to 5,967.66, 8,236.08 and 3,578.34 is: 4,938.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,967.66 : 8,236.08 = 3,578.34 : x
  2. Step 2: Convert to fraction form
    5,967.66/8,236.08 = 3,578.34/x
  3. Step 3: Cross multiply
    5,967.66x = 8,236.08 × 3,578.34
  4. Step 4: Simplify right side
    5,967.66x = 29,471,494.51
  5. Step 5: Solve for x
    x = 29,471,494.51/5,967.66
  6. Step 6: Final answer
    x = 4,938.53

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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.