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Finding the Fourth Proportional to 3,397.14, 4,687.74 and 1,905.12

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Solution

The fourth proportional to 3,397.14, 4,687.74 and 1,905.12 is: 2,628.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,397.14 : 4,687.74 = 1,905.12 : x
  2. Step 2: Convert to fraction form
    3,397.14/4,687.74 = 1,905.12/x
  3. Step 3: Cross multiply
    3,397.14x = 4,687.74 × 1,905.12
  4. Step 4: Simplify right side
    3,397.14x = 8,930,707.23
  5. Step 5: Solve for x
    x = 8,930,707.23/3,397.14
  6. Step 6: Final answer
    x = 2,628.89

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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.