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Finding the Fourth Proportional to 5,920.66, 8,170.22 and 3,400.98

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Solution

The fourth proportional to 5,920.66, 8,170.22 and 3,400.98 is: 4,693.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,920.66 : 8,170.22 = 3,400.98 : x
  2. Step 2: Convert to fraction form
    5,920.66/8,170.22 = 3,400.98/x
  3. Step 3: Cross multiply
    5,920.66x = 8,170.22 × 3,400.98
  4. Step 4: Simplify right side
    5,920.66x = 27,786,737.81
  5. Step 5: Solve for x
    x = 27,786,737.81/5,920.66
  6. Step 6: Final answer
    x = 4,693.19

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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.