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Finding the Fourth Proportional to 3,292.59, 4,546.22 and 2,114.31

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Solution

The fourth proportional to 3,292.59, 4,546.22 and 2,114.31 is: 2,919.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,292.59 : 4,546.22 = 2,114.31 : x
  2. Step 2: Convert to fraction form
    3,292.59/4,546.22 = 2,114.31/x
  3. Step 3: Cross multiply
    3,292.59x = 4,546.22 × 2,114.31
  4. Step 4: Simplify right side
    3,292.59x = 9,612,107.84
  5. Step 5: Solve for x
    x = 9,612,107.84/3,292.59
  6. Step 6: Final answer
    x = 2,919.32

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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.