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Finding the Fourth Proportional to 3,504.90, 5,252.07 and 2,116.71

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Solution

The fourth proportional to 3,504.90, 5,252.07 and 2,116.71 is: 3,171.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,504.90 : 5,252.07 = 2,116.71 : x
  2. Step 2: Convert to fraction form
    3,504.90/5,252.07 = 2,116.71/x
  3. Step 3: Cross multiply
    3,504.90x = 5,252.07 × 2,116.71
  4. Step 4: Simplify right side
    3,504.90x = 11,117,109.09
  5. Step 5: Solve for x
    x = 11,117,109.09/3,504.90
  6. Step 6: Final answer
    x = 3,171.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.