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Finding the Fourth Proportional to 5,396.35, 7,451.18 and 4,220.77

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Solution

The fourth proportional to 5,396.35, 7,451.18 and 4,220.77 is: 5,827.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,396.35 : 7,451.18 = 4,220.77 : x
  2. Step 2: Convert to fraction form
    5,396.35/7,451.18 = 4,220.77/x
  3. Step 3: Cross multiply
    5,396.35x = 7,451.18 × 4,220.77
  4. Step 4: Simplify right side
    5,396.35x = 31,449,679.75
  5. Step 5: Solve for x
    x = 31,449,679.75/5,396.35
  6. Step 6: Final answer
    x = 5,827.96

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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.