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Finding the Fourth Proportional to 4,616.69, 6,371.19 and 3,200.67

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Solution

The fourth proportional to 4,616.69, 6,371.19 and 3,200.67 is: 4,417.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,616.69 : 6,371.19 = 3,200.67 : x
  2. Step 2: Convert to fraction form
    4,616.69/6,371.19 = 3,200.67/x
  3. Step 3: Cross multiply
    4,616.69x = 6,371.19 × 3,200.67
  4. Step 4: Simplify right side
    4,616.69x = 20,392,076.70
  5. Step 5: Solve for x
    x = 20,392,076.70/4,616.69
  6. Step 6: Final answer
    x = 4,417.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.