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Finding the Fourth Proportional to 3,632.64, 5,015.43 and 2,517

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Solution

The fourth proportional to 3,632.64, 5,015.43 and 2,517 is: 3,475.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,632.64 : 5,015.43 = 2,517 : x
  2. Step 2: Convert to fraction form
    3,632.64/5,015.43 = 2,517/x
  3. Step 3: Cross multiply
    3,632.64x = 5,015.43 × 2,517
  4. Step 4: Simplify right side
    3,632.64x = 12,623,824.73
  5. Step 5: Solve for x
    x = 12,623,824.73/3,632.64
  6. Step 6: Final answer
    x = 3,475.11

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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.