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Finding the Fourth Proportional to 3,397.16, 5,095.56 and 1,447.94

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Solution

The fourth proportional to 3,397.16, 5,095.56 and 1,447.94 is: 2,171.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,397.16 : 5,095.56 = 1,447.94 : x
  2. Step 2: Convert to fraction form
    3,397.16/5,095.56 = 1,447.94/x
  3. Step 3: Cross multiply
    3,397.16x = 5,095.56 × 1,447.94
  4. Step 4: Simplify right side
    3,397.16x = 7,378,065.15
  5. Step 5: Solve for x
    x = 7,378,065.15/3,397.16
  6. Step 6: Final answer
    x = 2,171.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.