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Finding the Fourth Proportional to 5,270.40, 7,906.80 and 3,323.92

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Solution

The fourth proportional to 5,270.40, 7,906.80 and 3,323.92 is: 4,986.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,270.40 : 7,906.80 = 3,323.92 : x
  2. Step 2: Convert to fraction form
    5,270.40/7,906.80 = 3,323.92/x
  3. Step 3: Cross multiply
    5,270.40x = 7,906.80 × 3,323.92
  4. Step 4: Simplify right side
    5,270.40x = 26,281,570.66
  5. Step 5: Solve for x
    x = 26,281,570.66/5,270.40
  6. Step 6: Final answer
    x = 4,986.64

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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.