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Finding the Fourth Proportional to 3,920.82, 5,411.25 and 2,527.62

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Solution

The fourth proportional to 3,920.82, 5,411.25 and 2,527.62 is: 3,488.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,920.82 : 5,411.25 = 2,527.62 : x
  2. Step 2: Convert to fraction form
    3,920.82/5,411.25 = 2,527.62/x
  3. Step 3: Cross multiply
    3,920.82x = 5,411.25 × 2,527.62
  4. Step 4: Simplify right side
    3,920.82x = 13,677,583.73
  5. Step 5: Solve for x
    x = 13,677,583.73/3,920.82
  6. Step 6: Final answer
    x = 3,488.45

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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.