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Finding the Fourth Proportional to 5,929.64, 8,186.75 and 3,805.97

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Solution

The fourth proportional to 5,929.64, 8,186.75 and 3,805.97 is: 5,254.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,929.64 : 8,186.75 = 3,805.97 : x
  2. Step 2: Convert to fraction form
    5,929.64/8,186.75 = 3,805.97/x
  3. Step 3: Cross multiply
    5,929.64x = 8,186.75 × 3,805.97
  4. Step 4: Simplify right side
    5,929.64x = 31,158,464.93
  5. Step 5: Solve for x
    x = 31,158,464.93/5,929.64
  6. Step 6: Final answer
    x = 5,254.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.