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Finding the Fourth Proportional to 4,622.27, 6,933.60 and 4,294.22

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Solution

The fourth proportional to 4,622.27, 6,933.60 and 4,294.22 is: 6,441.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,622.27 : 6,933.60 = 4,294.22 : x
  2. Step 2: Convert to fraction form
    4,622.27/6,933.60 = 4,294.22/x
  3. Step 3: Cross multiply
    4,622.27x = 6,933.60 × 4,294.22
  4. Step 4: Simplify right side
    4,622.27x = 29,774,369.12
  5. Step 5: Solve for x
    x = 29,774,369.12/4,622.27
  6. Step 6: Final answer
    x = 6,441.51

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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.