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Finding the Fourth Proportional to 5,812, 8,021.64 and 3,328

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Solution

The fourth proportional to 5,812, 8,021.64 and 3,328 is: 4,593.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,812 : 8,021.64 = 3,328 : x
  2. Step 2: Convert to fraction form
    5,812/8,021.64 = 3,328/x
  3. Step 3: Cross multiply
    5,812x = 8,021.64 × 3,328
  4. Step 4: Simplify right side
    5,812x = 26,696,017.92
  5. Step 5: Solve for x
    x = 26,696,017.92/5,812
  6. Step 6: Final answer
    x = 4,593.26

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Why These Related Problems?

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