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Finding the Fourth Proportional to 4,474.64, 6,171.72 and 3,077.84

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Solution

The fourth proportional to 4,474.64, 6,171.72 and 3,077.84 is: 4,245.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,474.64 : 6,171.72 = 3,077.84 : x
  2. Step 2: Convert to fraction form
    4,474.64/6,171.72 = 3,077.84/x
  3. Step 3: Cross multiply
    4,474.64x = 6,171.72 × 3,077.84
  4. Step 4: Simplify right side
    4,474.64x = 18,995,566.68
  5. Step 5: Solve for x
    x = 18,995,566.68/4,474.64
  6. Step 6: Final answer
    x = 4,245.16

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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.