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Finding the Fourth Proportional to 4,384.70, 6,569.85 and 3,650.30

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Solution

The fourth proportional to 4,384.70, 6,569.85 and 3,650.30 is: 5,469.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,384.70 : 6,569.85 = 3,650.30 : x
  2. Step 2: Convert to fraction form
    4,384.70/6,569.85 = 3,650.30/x
  3. Step 3: Cross multiply
    4,384.70x = 6,569.85 × 3,650.30
  4. Step 4: Simplify right side
    4,384.70x = 23,981,923.46
  5. Step 5: Solve for x
    x = 23,981,923.46/4,384.70
  6. Step 6: Final answer
    x = 5,469.46

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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.