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Finding the Fourth Proportional to 4,863.86, 6,716.85 and 4,161.14

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Solution

The fourth proportional to 4,863.86, 6,716.85 and 4,161.14 is: 5,746.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,863.86 : 6,716.85 = 4,161.14 : x
  2. Step 2: Convert to fraction form
    4,863.86/6,716.85 = 4,161.14/x
  3. Step 3: Cross multiply
    4,863.86x = 6,716.85 × 4,161.14
  4. Step 4: Simplify right side
    4,863.86x = 27,949,753.21
  5. Step 5: Solve for x
    x = 27,949,753.21/4,863.86
  6. Step 6: Final answer
    x = 5,746.41

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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.