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Finding the Fourth Proportional to 4,642.14, 6,406.14 and 2,546.22

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Solution

The fourth proportional to 4,642.14, 6,406.14 and 2,546.22 is: 3,513.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,642.14 : 6,406.14 = 2,546.22 : x
  2. Step 2: Convert to fraction form
    4,642.14/6,406.14 = 2,546.22/x
  3. Step 3: Cross multiply
    4,642.14x = 6,406.14 × 2,546.22
  4. Step 4: Simplify right side
    4,642.14x = 16,311,441.79
  5. Step 5: Solve for x
    x = 16,311,441.79/4,642.14
  6. Step 6: Final answer
    x = 3,513.78

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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.