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Finding the Fourth Proportional to 4,736.50, 7,107.31 and 2,304.50

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Solution

The fourth proportional to 4,736.50, 7,107.31 and 2,304.50 is: 3,458.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,736.50 : 7,107.31 = 2,304.50 : x
  2. Step 2: Convert to fraction form
    4,736.50/7,107.31 = 2,304.50/x
  3. Step 3: Cross multiply
    4,736.50x = 7,107.31 × 2,304.50
  4. Step 4: Simplify right side
    4,736.50x = 16,378,795.90
  5. Step 5: Solve for x
    x = 16,378,795.90/4,736.50
  6. Step 6: Final answer
    x = 3,458.00

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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.