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Finding the Fourth Proportional to 5,765.92, 8,651.58 and 2,842.63

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Solution

The fourth proportional to 5,765.92, 8,651.58 and 2,842.63 is: 4,265.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,765.92 : 8,651.58 = 2,842.63 : x
  2. Step 2: Convert to fraction form
    5,765.92/8,651.58 = 2,842.63/x
  3. Step 3: Cross multiply
    5,765.92x = 8,651.58 × 2,842.63
  4. Step 4: Simplify right side
    5,765.92x = 24,593,240.86
  5. Step 5: Solve for x
    x = 24,593,240.86/5,765.92
  6. Step 6: Final answer
    x = 4,265.28

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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.