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Finding the Fourth Proportional to 4,571.16, 6,856.67 and 1,108.44

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Solution

The fourth proportional to 4,571.16, 6,856.67 and 1,108.44 is: 1,662.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,571.16 : 6,856.67 = 1,108.44 : x
  2. Step 2: Convert to fraction form
    4,571.16/6,856.67 = 1,108.44/x
  3. Step 3: Cross multiply
    4,571.16x = 6,856.67 × 1,108.44
  4. Step 4: Simplify right side
    4,571.16x = 7,600,175.78
  5. Step 5: Solve for x
    x = 7,600,175.78/4,571.16
  6. Step 6: Final answer
    x = 1,662.64

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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.