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Finding the Fourth Proportional to 5,446.96, 7,512.78 and 3,455.80

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Solution

The fourth proportional to 5,446.96, 7,512.78 and 3,455.80 is: 4,766.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,446.96 : 7,512.78 = 3,455.80 : x
  2. Step 2: Convert to fraction form
    5,446.96/7,512.78 = 3,455.80/x
  3. Step 3: Cross multiply
    5,446.96x = 7,512.78 × 3,455.80
  4. Step 4: Simplify right side
    5,446.96x = 25,962,665.12
  5. Step 5: Solve for x
    x = 25,962,665.12/5,446.96
  6. Step 6: Final answer
    x = 4,766.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.