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Finding the Fourth Proportional to 3,886.72, 5,859.38 and 3,636.16

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Solution

The fourth proportional to 3,886.72, 5,859.38 and 3,636.16 is: 5,481.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886.72 : 5,859.38 = 3,636.16 : x
  2. Step 2: Convert to fraction form
    3,886.72/5,859.38 = 3,636.16/x
  3. Step 3: Cross multiply
    3,886.72x = 5,859.38 × 3,636.16
  4. Step 4: Simplify right side
    3,886.72x = 21,305,643.18
  5. Step 5: Solve for x
    x = 21,305,643.18/3,886.72
  6. Step 6: Final answer
    x = 5,481.65

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.