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Finding the Fourth Proportional to 3,439.76, 4,744.44 and 2,114.21

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Solution

The fourth proportional to 3,439.76, 4,744.44 and 2,114.21 is: 2,916.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,439.76 : 4,744.44 = 2,114.21 : x
  2. Step 2: Convert to fraction form
    3,439.76/4,744.44 = 2,114.21/x
  3. Step 3: Cross multiply
    3,439.76x = 4,744.44 × 2,114.21
  4. Step 4: Simplify right side
    3,439.76x = 10,030,742.49
  5. Step 5: Solve for x
    x = 10,030,742.49/3,439.76
  6. Step 6: Final answer
    x = 2,916.12

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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.