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Finding the Fourth Proportional to 4,567.57, 6,847.26 and 3,792.56

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Solution

The fourth proportional to 4,567.57, 6,847.26 and 3,792.56 is: 5,685.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,567.57 : 6,847.26 = 3,792.56 : x
  2. Step 2: Convert to fraction form
    4,567.57/6,847.26 = 3,792.56/x
  3. Step 3: Cross multiply
    4,567.57x = 6,847.26 × 3,792.56
  4. Step 4: Simplify right side
    4,567.57x = 25,968,606.59
  5. Step 5: Solve for x
    x = 25,968,606.59/4,567.57
  6. Step 6: Final answer
    x = 5,685.43

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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.