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Finding the Fourth Proportional to 3,830.62, 5,295.81 and 3,239.86

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Solution

The fourth proportional to 3,830.62, 5,295.81 and 3,239.86 is: 4,479.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.62 : 5,295.81 = 3,239.86 : x
  2. Step 2: Convert to fraction form
    3,830.62/5,295.81 = 3,239.86/x
  3. Step 3: Cross multiply
    3,830.62x = 5,295.81 × 3,239.86
  4. Step 4: Simplify right side
    3,830.62x = 17,157,682.99
  5. Step 5: Solve for x
    x = 17,157,682.99/3,830.62
  6. Step 6: Final answer
    x = 4,479.09

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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.