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Finding the Fourth Proportional to 3,233.28, 4,842.96 and 3,005.28

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Solution

The fourth proportional to 3,233.28, 4,842.96 and 3,005.28 is: 4,501.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,233.28 : 4,842.96 = 3,005.28 : x
  2. Step 2: Convert to fraction form
    3,233.28/4,842.96 = 3,005.28/x
  3. Step 3: Cross multiply
    3,233.28x = 4,842.96 × 3,005.28
  4. Step 4: Simplify right side
    3,233.28x = 14,554,450.83
  5. Step 5: Solve for x
    x = 14,554,450.83/3,233.28
  6. Step 6: Final answer
    x = 4,501.45

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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.