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Finding the Fourth Proportional to 3,214.56, 4,436.16 and 1,817.28

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Solution

The fourth proportional to 3,214.56, 4,436.16 and 1,817.28 is: 2,507.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,214.56 : 4,436.16 = 1,817.28 : x
  2. Step 2: Convert to fraction form
    3,214.56/4,436.16 = 1,817.28/x
  3. Step 3: Cross multiply
    3,214.56x = 4,436.16 × 1,817.28
  4. Step 4: Simplify right side
    3,214.56x = 8,061,744.84
  5. Step 5: Solve for x
    x = 8,061,744.84/3,214.56
  6. Step 6: Final answer
    x = 2,507.88

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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.