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Finding the Fourth Proportional to 3,304.56, 4,946.51 and 2,133

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Solution

The fourth proportional to 3,304.56, 4,946.51 and 2,133 is: 3,192.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,304.56 : 4,946.51 = 2,133 : x
  2. Step 2: Convert to fraction form
    3,304.56/4,946.51 = 2,133/x
  3. Step 3: Cross multiply
    3,304.56x = 4,946.51 × 2,133
  4. Step 4: Simplify right side
    3,304.56x = 10,550,895.17
  5. Step 5: Solve for x
    x = 10,550,895.17/3,304.56
  6. Step 6: Final answer
    x = 3,192.83

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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.