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Finding the Fourth Proportional to 3,143.86, 4,716.16 and 1,388.12

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Solution

The fourth proportional to 3,143.86, 4,716.16 and 1,388.12 is: 2,082.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143.86 : 4,716.16 = 1,388.12 : x
  2. Step 2: Convert to fraction form
    3,143.86/4,716.16 = 1,388.12/x
  3. Step 3: Cross multiply
    3,143.86x = 4,716.16 × 1,388.12
  4. Step 4: Simplify right side
    3,143.86x = 6,546,568.97
  5. Step 5: Solve for x
    x = 6,546,568.97/3,143.86
  6. Step 6: Final answer
    x = 2,082.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.