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Finding the Fourth Proportional to 5,849.11, 8,071.62 and 3,196.54

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Solution

The fourth proportional to 5,849.11, 8,071.62 and 3,196.54 is: 4,411.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,849.11 : 8,071.62 = 3,196.54 : x
  2. Step 2: Convert to fraction form
    5,849.11/8,071.62 = 3,196.54/x
  3. Step 3: Cross multiply
    5,849.11x = 8,071.62 × 3,196.54
  4. Step 4: Simplify right side
    5,849.11x = 25,801,258.57
  5. Step 5: Solve for x
    x = 25,801,258.57/5,849.11
  6. Step 6: Final answer
    x = 4,411.14

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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.