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Finding the Fourth Proportional to 5,863.06, 8,090.13 and 3,874.42

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Solution

The fourth proportional to 5,863.06, 8,090.13 and 3,874.42 is: 5,346.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,863.06 : 8,090.13 = 3,874.42 : x
  2. Step 2: Convert to fraction form
    5,863.06/8,090.13 = 3,874.42/x
  3. Step 3: Cross multiply
    5,863.06x = 8,090.13 × 3,874.42
  4. Step 4: Simplify right side
    5,863.06x = 31,344,561.47
  5. Step 5: Solve for x
    x = 31,344,561.47/5,863.06
  6. Step 6: Final answer
    x = 5,346.11

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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.