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Finding the Fourth Proportional to 3,491.75, 4,812.44 and 3,084.42

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Solution

The fourth proportional to 3,491.75, 4,812.44 and 3,084.42 is: 4,251.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,491.75 : 4,812.44 = 3,084.42 : x
  2. Step 2: Convert to fraction form
    3,491.75/4,812.44 = 3,084.42/x
  3. Step 3: Cross multiply
    3,491.75x = 4,812.44 × 3,084.42
  4. Step 4: Simplify right side
    3,491.75x = 14,843,570.76
  5. Step 5: Solve for x
    x = 14,843,570.76/3,491.75
  6. Step 6: Final answer
    x = 4,251.04

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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.