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Finding the Fourth Proportional to 6,104.64, 8,422.79 and 3,742.68

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Solution

The fourth proportional to 6,104.64, 8,422.79 and 3,742.68 is: 5,163.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,104.64 : 8,422.79 = 3,742.68 : x
  2. Step 2: Convert to fraction form
    6,104.64/8,422.79 = 3,742.68/x
  3. Step 3: Cross multiply
    6,104.64x = 8,422.79 × 3,742.68
  4. Step 4: Simplify right side
    6,104.64x = 31,523,807.68
  5. Step 5: Solve for x
    x = 31,523,807.68/6,104.64
  6. Step 6: Final answer
    x = 5,163.91

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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.