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Finding the Fourth Proportional to 4,724.48, 7,087.68 and 2,647.44

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Solution

The fourth proportional to 4,724.48, 7,087.68 and 2,647.44 is: 3,971.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,724.48 : 7,087.68 = 2,647.44 : x
  2. Step 2: Convert to fraction form
    4,724.48/7,087.68 = 2,647.44/x
  3. Step 3: Cross multiply
    4,724.48x = 7,087.68 × 2,647.44
  4. Step 4: Simplify right side
    4,724.48x = 18,764,207.54
  5. Step 5: Solve for x
    x = 18,764,207.54/4,724.48
  6. Step 6: Final answer
    x = 3,971.70

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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.