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Finding the Fourth Proportional to 4,933.36, 7,391.64 and 4,310.20

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Solution

The fourth proportional to 4,933.36, 7,391.64 and 4,310.20 is: 6,457.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,933.36 : 7,391.64 = 4,310.20 : x
  2. Step 2: Convert to fraction form
    4,933.36/7,391.64 = 4,310.20/x
  3. Step 3: Cross multiply
    4,933.36x = 7,391.64 × 4,310.20
  4. Step 4: Simplify right side
    4,933.36x = 31,859,446.73
  5. Step 5: Solve for x
    x = 31,859,446.73/4,933.36
  6. Step 6: Final answer
    x = 6,457.96

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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.