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Finding the Fourth Proportional to 4,861.92, 7,275.06 and 3,216

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Solution

The fourth proportional to 4,861.92, 7,275.06 and 3,216 is: 4,812.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,861.92 : 7,275.06 = 3,216 : x
  2. Step 2: Convert to fraction form
    4,861.92/7,275.06 = 3,216/x
  3. Step 3: Cross multiply
    4,861.92x = 7,275.06 × 3,216
  4. Step 4: Simplify right side
    4,861.92x = 23,396,592.96
  5. Step 5: Solve for x
    x = 23,396,592.96/4,861.92
  6. Step 6: Final answer
    x = 4,812.21

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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.