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Finding the Fourth Proportional to 5,761.94, 7,950.21 and 3,402.86

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Solution

The fourth proportional to 5,761.94, 7,950.21 and 3,402.86 is: 4,695.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,761.94 : 7,950.21 = 3,402.86 : x
  2. Step 2: Convert to fraction form
    5,761.94/7,950.21 = 3,402.86/x
  3. Step 3: Cross multiply
    5,761.94x = 7,950.21 × 3,402.86
  4. Step 4: Simplify right side
    5,761.94x = 27,053,451.60
  5. Step 5: Solve for x
    x = 27,053,451.60/5,761.94
  6. Step 6: Final answer
    x = 4,695.20

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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.