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Finding the Fourth Proportional to 4,494.32, 6,731.20 and 3,968.74

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Solution

The fourth proportional to 4,494.32, 6,731.20 and 3,968.74 is: 5,944.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,494.32 : 6,731.20 = 3,968.74 : x
  2. Step 2: Convert to fraction form
    4,494.32/6,731.20 = 3,968.74/x
  3. Step 3: Cross multiply
    4,494.32x = 6,731.20 × 3,968.74
  4. Step 4: Simplify right side
    4,494.32x = 26,714,382.69
  5. Step 5: Solve for x
    x = 26,714,382.69/4,494.32
  6. Step 6: Final answer
    x = 5,944.03

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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.