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Finding the Fourth Proportional to 3,975.45, 5,963.24 and 1,053.83

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Solution

The fourth proportional to 3,975.45, 5,963.24 and 1,053.83 is: 1,580.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,975.45 : 5,963.24 = 1,053.83 : x
  2. Step 2: Convert to fraction form
    3,975.45/5,963.24 = 1,053.83/x
  3. Step 3: Cross multiply
    3,975.45x = 5,963.24 × 1,053.83
  4. Step 4: Simplify right side
    3,975.45x = 6,284,206.12
  5. Step 5: Solve for x
    x = 6,284,206.12/3,975.45
  6. Step 6: Final answer
    x = 1,580.75

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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.