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Finding the Fourth Proportional to 5,647.60, 8,473.80 and 2,724.40

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Solution

The fourth proportional to 5,647.60, 8,473.80 and 2,724.40 is: 4,087.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,647.60 : 8,473.80 = 2,724.40 : x
  2. Step 2: Convert to fraction form
    5,647.60/8,473.80 = 2,724.40/x
  3. Step 3: Cross multiply
    5,647.60x = 8,473.80 × 2,724.40
  4. Step 4: Simplify right side
    5,647.60x = 23,086,020.72
  5. Step 5: Solve for x
    x = 23,086,020.72/5,647.60
  6. Step 6: Final answer
    x = 4,087.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.