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Finding the Fourth Proportional to 5,153.92, 7,730.90 and 2,191.60

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Solution

The fourth proportional to 5,153.92, 7,730.90 and 2,191.60 is: 3,287.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,153.92 : 7,730.90 = 2,191.60 : x
  2. Step 2: Convert to fraction form
    5,153.92/7,730.90 = 2,191.60/x
  3. Step 3: Cross multiply
    5,153.92x = 7,730.90 × 2,191.60
  4. Step 4: Simplify right side
    5,153.92x = 16,943,040.44
  5. Step 5: Solve for x
    x = 16,943,040.44/5,153.92
  6. Step 6: Final answer
    x = 3,287.41

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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.