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Finding the Fourth Proportional to 5,872.84, 8,105.62 and 3,389

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Solution

The fourth proportional to 5,872.84, 8,105.62 and 3,389 is: 4,677.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,872.84 : 8,105.62 = 3,389 : x
  2. Step 2: Convert to fraction form
    5,872.84/8,105.62 = 3,389/x
  3. Step 3: Cross multiply
    5,872.84x = 8,105.62 × 3,389
  4. Step 4: Simplify right side
    5,872.84x = 27,469,946.18
  5. Step 5: Solve for x
    x = 27,469,946.18/5,872.84
  6. Step 6: Final answer
    x = 4,677.46

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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.