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Finding the Fourth Proportional to 4,705.92, 7,057.44 and 2,856.96

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Solution

The fourth proportional to 4,705.92, 7,057.44 and 2,856.96 is: 4,284.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,705.92 : 7,057.44 = 2,856.96 : x
  2. Step 2: Convert to fraction form
    4,705.92/7,057.44 = 2,856.96/x
  3. Step 3: Cross multiply
    4,705.92x = 7,057.44 × 2,856.96
  4. Step 4: Simplify right side
    4,705.92x = 20,162,823.78
  5. Step 5: Solve for x
    x = 20,162,823.78/4,705.92
  6. Step 6: Final answer
    x = 4,284.57

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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.