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Finding the Fourth Proportional to 5,447.70, 7,516.53 and 3,091.14

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Solution

The fourth proportional to 5,447.70, 7,516.53 and 3,091.14 is: 4,265.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,447.70 : 7,516.53 = 3,091.14 : x
  2. Step 2: Convert to fraction form
    5,447.70/7,516.53 = 3,091.14/x
  3. Step 3: Cross multiply
    5,447.70x = 7,516.53 × 3,091.14
  4. Step 4: Simplify right side
    5,447.70x = 23,234,646.54
  5. Step 5: Solve for x
    x = 23,234,646.54/5,447.70
  6. Step 6: Final answer
    x = 4,265.04

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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.