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Finding the Fourth Proportional to 5,092.40, 7,638.62 and 1,805.60

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Solution

The fourth proportional to 5,092.40, 7,638.62 and 1,805.60 is: 2,708.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,092.40 : 7,638.62 = 1,805.60 : x
  2. Step 2: Convert to fraction form
    5,092.40/7,638.62 = 1,805.60/x
  3. Step 3: Cross multiply
    5,092.40x = 7,638.62 × 1,805.60
  4. Step 4: Simplify right side
    5,092.40x = 13,792,245.05
  5. Step 5: Solve for x
    x = 13,792,245.05/5,092.40
  6. Step 6: Final answer
    x = 2,708.40

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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.