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Finding the Fourth Proportional to 3,686.65, 5,091.26 and 3,181.41

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Solution

The fourth proportional to 3,686.65, 5,091.26 and 3,181.41 is: 4,393.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,686.65 : 5,091.26 = 3,181.41 : x
  2. Step 2: Convert to fraction form
    3,686.65/5,091.26 = 3,181.41/x
  3. Step 3: Cross multiply
    3,686.65x = 5,091.26 × 3,181.41
  4. Step 4: Simplify right side
    3,686.65x = 16,197,369.57
  5. Step 5: Solve for x
    x = 16,197,369.57/3,686.65
  6. Step 6: Final answer
    x = 4,393.52

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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.