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Finding the Fourth Proportional to 5,768.91, 7,961.22 and 3,411.05

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Solution

The fourth proportional to 5,768.91, 7,961.22 and 3,411.05 is: 4,707.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,768.91 : 7,961.22 = 3,411.05 : x
  2. Step 2: Convert to fraction form
    5,768.91/7,961.22 = 3,411.05/x
  3. Step 3: Cross multiply
    5,768.91x = 7,961.22 × 3,411.05
  4. Step 4: Simplify right side
    5,768.91x = 27,156,079.67
  5. Step 5: Solve for x
    x = 27,156,079.67/5,768.91
  6. Step 6: Final answer
    x = 4,707.32

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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.