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Finding the Fourth Proportional to 3,304.72, 4,955.82 and 1,083

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Solution

The fourth proportional to 3,304.72, 4,955.82 and 1,083 is: 1,624.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,304.72 : 4,955.82 = 1,083 : x
  2. Step 2: Convert to fraction form
    3,304.72/4,955.82 = 1,083/x
  3. Step 3: Cross multiply
    3,304.72x = 4,955.82 × 1,083
  4. Step 4: Simplify right side
    3,304.72x = 5,367,153.06
  5. Step 5: Solve for x
    x = 5,367,153.06/3,304.72
  6. Step 6: Final answer
    x = 1,624.09

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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.