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Finding the Fourth Proportional to 3,636.25, 5,018.03 and 1,980.25

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Solution

The fourth proportional to 3,636.25, 5,018.03 and 1,980.25 is: 2,732.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,636.25 : 5,018.03 = 1,980.25 : x
  2. Step 2: Convert to fraction form
    3,636.25/5,018.03 = 1,980.25/x
  3. Step 3: Cross multiply
    3,636.25x = 5,018.03 × 1,980.25
  4. Step 4: Simplify right side
    3,636.25x = 9,936,944.01
  5. Step 5: Solve for x
    x = 9,936,944.01/3,636.25
  6. Step 6: Final answer
    x = 2,732.75

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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.