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Finding the Fourth Proportional to 2,956.97, 4,084.25 and 2,214.24

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Solution

The fourth proportional to 2,956.97, 4,084.25 and 2,214.24 is: 3,058.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,956.97 : 4,084.25 = 2,214.24 : x
  2. Step 2: Convert to fraction form
    2,956.97/4,084.25 = 2,214.24/x
  3. Step 3: Cross multiply
    2,956.97x = 4,084.25 × 2,214.24
  4. Step 4: Simplify right side
    2,956.97x = 9,043,498.65
  5. Step 5: Solve for x
    x = 9,043,498.65/2,956.97
  6. Step 6: Final answer
    x = 3,058.37

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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.