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Finding the Fourth Proportional to 3,814.65, 5,251.41 and 3,394.35

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Solution

The fourth proportional to 3,814.65, 5,251.41 and 3,394.35 is: 4,672.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,814.65 : 5,251.41 = 3,394.35 : x
  2. Step 2: Convert to fraction form
    3,814.65/5,251.41 = 3,394.35/x
  3. Step 3: Cross multiply
    3,814.65x = 5,251.41 × 3,394.35
  4. Step 4: Simplify right side
    3,814.65x = 17,825,123.53
  5. Step 5: Solve for x
    x = 17,825,123.53/3,814.65
  6. Step 6: Final answer
    x = 4,672.81

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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.