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Finding the Fourth Proportional to 6,274.44, 8,651.52 and 4,286.16

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Solution

The fourth proportional to 6,274.44, 8,651.52 and 4,286.16 is: 5,909.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,274.44 : 8,651.52 = 4,286.16 : x
  2. Step 2: Convert to fraction form
    6,274.44/8,651.52 = 4,286.16/x
  3. Step 3: Cross multiply
    6,274.44x = 8,651.52 × 4,286.16
  4. Step 4: Simplify right side
    6,274.44x = 37,081,798.96
  5. Step 5: Solve for x
    x = 37,081,798.96/6,274.44
  6. Step 6: Final answer
    x = 5,909.98

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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.