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Finding the Fourth Proportional to 3,484.87, 5,227.20 and 887.80

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Solution

The fourth proportional to 3,484.87, 5,227.20 and 887.80 is: 1,331.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,484.87 : 5,227.20 = 887.80 : x
  2. Step 2: Convert to fraction form
    3,484.87/5,227.20 = 887.80/x
  3. Step 3: Cross multiply
    3,484.87x = 5,227.20 × 887.80
  4. Step 4: Simplify right side
    3,484.87x = 4,640,708.16
  5. Step 5: Solve for x
    x = 4,640,708.16/3,484.87
  6. Step 6: Final answer
    x = 1,331.67

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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.