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Finding the Fourth Proportional to 3,397.47, 5,096.71 and 1,205.69

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Solution

The fourth proportional to 3,397.47, 5,096.71 and 1,205.69 is: 1,808.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,397.47 : 5,096.71 = 1,205.69 : x
  2. Step 2: Convert to fraction form
    3,397.47/5,096.71 = 1,205.69/x
  3. Step 3: Cross multiply
    3,397.47x = 5,096.71 × 1,205.69
  4. Step 4: Simplify right side
    3,397.47x = 6,145,028.30
  5. Step 5: Solve for x
    x = 6,145,028.30/3,397.47
  6. Step 6: Final answer
    x = 1,808.71

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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.