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Finding the Fourth Proportional to 3,306.72, 4,963.32 and 1,576.56

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Solution

The fourth proportional to 3,306.72, 4,963.32 and 1,576.56 is: 2,366.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,306.72 : 4,963.32 = 1,576.56 : x
  2. Step 2: Convert to fraction form
    3,306.72/4,963.32 = 1,576.56/x
  3. Step 3: Cross multiply
    3,306.72x = 4,963.32 × 1,576.56
  4. Step 4: Simplify right side
    3,306.72x = 7,824,971.78
  5. Step 5: Solve for x
    x = 7,824,971.78/3,306.72
  6. Step 6: Final answer
    x = 2,366.38

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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.