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Finding the Fourth Proportional to 5,469.30, 8,191.80 and 4,740.30

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Solution

The fourth proportional to 5,469.30, 8,191.80 and 4,740.30 is: 7,099.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,469.30 : 8,191.80 = 4,740.30 : x
  2. Step 2: Convert to fraction form
    5,469.30/8,191.80 = 4,740.30/x
  3. Step 3: Cross multiply
    5,469.30x = 8,191.80 × 4,740.30
  4. Step 4: Simplify right side
    5,469.30x = 38,831,589.54
  5. Step 5: Solve for x
    x = 38,831,589.54/5,469.30
  6. Step 6: Final answer
    x = 7,099.92

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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.