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Finding the Fourth Proportional to 3,512.16, 4,847.04 and 2,168.10

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Solution

The fourth proportional to 3,512.16, 4,847.04 and 2,168.10 is: 2,992.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,512.16 : 4,847.04 = 2,168.10 : x
  2. Step 2: Convert to fraction form
    3,512.16/4,847.04 = 2,168.10/x
  3. Step 3: Cross multiply
    3,512.16x = 4,847.04 × 2,168.10
  4. Step 4: Simplify right side
    3,512.16x = 10,508,867.42
  5. Step 5: Solve for x
    x = 10,508,867.42/3,512.16
  6. Step 6: Final answer
    x = 2,992.14

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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.