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Finding the Fourth Proportional to 3,283.96, 4,530.72 and 2,164.56

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Solution

The fourth proportional to 3,283.96, 4,530.72 and 2,164.56 is: 2,986.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,283.96 : 4,530.72 = 2,164.56 : x
  2. Step 2: Convert to fraction form
    3,283.96/4,530.72 = 2,164.56/x
  3. Step 3: Cross multiply
    3,283.96x = 4,530.72 × 2,164.56
  4. Step 4: Simplify right side
    3,283.96x = 9,807,015.28
  5. Step 5: Solve for x
    x = 9,807,015.28/3,283.96
  6. Step 6: Final answer
    x = 2,986.34

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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.