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Finding the Fourth Proportional to 3,689.84, 5,081.10 and 3,296.72

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Solution

The fourth proportional to 3,689.84, 5,081.10 and 3,296.72 is: 4,539.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,689.84 : 5,081.10 = 3,296.72 : x
  2. Step 2: Convert to fraction form
    3,689.84/5,081.10 = 3,296.72/x
  3. Step 3: Cross multiply
    3,689.84x = 5,081.10 × 3,296.72
  4. Step 4: Simplify right side
    3,689.84x = 16,750,964.33
  5. Step 5: Solve for x
    x = 16,750,964.33/3,689.84
  6. Step 6: Final answer
    x = 4,539.75

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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.