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Finding the Fourth Proportional to 3,980.16, 5,492.88 and 2,736

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Solution

The fourth proportional to 3,980.16, 5,492.88 and 2,736 is: 3,775.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.16 : 5,492.88 = 2,736 : x
  2. Step 2: Convert to fraction form
    3,980.16/5,492.88 = 2,736/x
  3. Step 3: Cross multiply
    3,980.16x = 5,492.88 × 2,736
  4. Step 4: Simplify right side
    3,980.16x = 15,028,519.68
  5. Step 5: Solve for x
    x = 15,028,519.68/3,980.16
  6. Step 6: Final answer
    x = 3,775.86

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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.