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Finding the Fourth Proportional to 4,429.76, 6,644.61 and 1,963.89

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Solution

The fourth proportional to 4,429.76, 6,644.61 and 1,963.89 is: 2,945.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,429.76 : 6,644.61 = 1,963.89 : x
  2. Step 2: Convert to fraction form
    4,429.76/6,644.61 = 1,963.89/x
  3. Step 3: Cross multiply
    4,429.76x = 6,644.61 × 1,963.89
  4. Step 4: Simplify right side
    4,429.76x = 13,049,283.13
  5. Step 5: Solve for x
    x = 13,049,283.13/4,429.76
  6. Step 6: Final answer
    x = 2,945.83

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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.