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Finding the Fourth Proportional to 3,397.34, 4,678.97 and 2,732.13

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Solution

The fourth proportional to 3,397.34, 4,678.97 and 2,732.13 is: 3,762.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,397.34 : 4,678.97 = 2,732.13 : x
  2. Step 2: Convert to fraction form
    3,397.34/4,678.97 = 2,732.13/x
  3. Step 3: Cross multiply
    3,397.34x = 4,678.97 × 2,732.13
  4. Step 4: Simplify right side
    3,397.34x = 12,783,540.65
  5. Step 5: Solve for x
    x = 12,783,540.65/3,397.34
  6. Step 6: Final answer
    x = 3,762.81

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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.