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Finding the Fourth Proportional to 3,627.62, 5,006.12 and 1,971.62

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Solution

The fourth proportional to 3,627.62, 5,006.12 and 1,971.62 is: 2,720.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,627.62 : 5,006.12 = 1,971.62 : x
  2. Step 2: Convert to fraction form
    3,627.62/5,006.12 = 1,971.62/x
  3. Step 3: Cross multiply
    3,627.62x = 5,006.12 × 1,971.62
  4. Step 4: Simplify right side
    3,627.62x = 9,870,166.31
  5. Step 5: Solve for x
    x = 9,870,166.31/3,627.62
  6. Step 6: Final answer
    x = 2,720.84

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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.