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Finding the Fourth Proportional to 4,827.20, 7,241.94 and 4,162.86

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Solution

The fourth proportional to 4,827.20, 7,241.94 and 4,162.86 is: 6,245.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,827.20 : 7,241.94 = 4,162.86 : x
  2. Step 2: Convert to fraction form
    4,827.20/7,241.94 = 4,162.86/x
  3. Step 3: Cross multiply
    4,827.20x = 7,241.94 × 4,162.86
  4. Step 4: Simplify right side
    4,827.20x = 30,147,182.35
  5. Step 5: Solve for x
    x = 30,147,182.35/4,827.20
  6. Step 6: Final answer
    x = 6,245.28

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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.