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Finding the Fourth Proportional to 3,284.57, 4,529.25 and 2,164.07

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Solution

The fourth proportional to 3,284.57, 4,529.25 and 2,164.07 is: 2,984.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,284.57 : 4,529.25 = 2,164.07 : x
  2. Step 2: Convert to fraction form
    3,284.57/4,529.25 = 2,164.07/x
  3. Step 3: Cross multiply
    3,284.57x = 4,529.25 × 2,164.07
  4. Step 4: Simplify right side
    3,284.57x = 9,801,591.40
  5. Step 5: Solve for x
    x = 9,801,591.40/3,284.57
  6. Step 6: Final answer
    x = 2,984.14

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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.