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Finding the Fourth Proportional to 5,975.67, 8,963.47 and 1,533.31

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Solution

The fourth proportional to 5,975.67, 8,963.47 and 1,533.31 is: 2,299.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,975.67 : 8,963.47 = 1,533.31 : x
  2. Step 2: Convert to fraction form
    5,975.67/8,963.47 = 1,533.31/x
  3. Step 3: Cross multiply
    5,975.67x = 8,963.47 × 1,533.31
  4. Step 4: Simplify right side
    5,975.67x = 13,743,778.19
  5. Step 5: Solve for x
    x = 13,743,778.19/5,975.67
  6. Step 6: Final answer
    x = 2,299.96

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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.